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Finding the Fourth Proportional to 866.76, 1,196.15 and 517.65

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Solution

The fourth proportional to 866.76, 1,196.15 and 517.65 is: 714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.76 : 1,196.15 = 517.65 : x
  2. Step 2: Convert to fraction form
    866.76/1,196.15 = 517.65/x
  3. Step 3: Cross multiply
    866.76x = 1,196.15 × 517.65
  4. Step 4: Simplify right side
    866.76x = 619,184.46
  5. Step 5: Solve for x
    x = 619,184.46/866.76
  6. Step 6: Final answer
    x = 714.37

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.