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Finding the Fourth Proportional to 846.65, 1,168.67 and 566.76

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Solution

The fourth proportional to 846.65, 1,168.67 and 566.76 is: 782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.65 : 1,168.67 = 566.76 : x
  2. Step 2: Convert to fraction form
    846.65/1,168.67 = 566.76/x
  3. Step 3: Cross multiply
    846.65x = 1,168.67 × 566.76
  4. Step 4: Simplify right side
    846.65x = 662,352.58
  5. Step 5: Solve for x
    x = 662,352.58/846.65
  6. Step 6: Final answer
    x = 782.33

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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.