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Finding the Fourth Proportional to 746.54, 1,030.14 and 414.92

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Solution

The fourth proportional to 746.54, 1,030.14 and 414.92 is: 572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.54 : 1,030.14 = 414.92 : x
  2. Step 2: Convert to fraction form
    746.54/1,030.14 = 414.92/x
  3. Step 3: Cross multiply
    746.54x = 1,030.14 × 414.92
  4. Step 4: Simplify right side
    746.54x = 427,425.69
  5. Step 5: Solve for x
    x = 427,425.69/746.54
  6. Step 6: Final answer
    x = 572.54

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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.