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Finding the Fourth Proportional to 886.71, 1,223.70 and 493.77

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Solution

The fourth proportional to 886.71, 1,223.70 and 493.77 is: 681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.71 : 1,223.70 = 493.77 : x
  2. Step 2: Convert to fraction form
    886.71/1,223.70 = 493.77/x
  3. Step 3: Cross multiply
    886.71x = 1,223.70 × 493.77
  4. Step 4: Simplify right side
    886.71x = 604,226.35
  5. Step 5: Solve for x
    x = 604,226.35/886.71
  6. Step 6: Final answer
    x = 681.42

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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.