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Finding the Fourth Proportional to 747.78, 1,032.02 and 416.21

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Solution

The fourth proportional to 747.78, 1,032.02 and 416.21 is: 574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.78 : 1,032.02 = 416.21 : x
  2. Step 2: Convert to fraction form
    747.78/1,032.02 = 416.21/x
  3. Step 3: Cross multiply
    747.78x = 1,032.02 × 416.21
  4. Step 4: Simplify right side
    747.78x = 429,529.80
  5. Step 5: Solve for x
    x = 429,529.80/747.78
  6. Step 6: Final answer
    x = 574.41

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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.