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Finding the Fourth Proportional to 746.92, 1,030.76 and 452.22

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Solution

The fourth proportional to 746.92, 1,030.76 and 452.22 is: 624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.92 : 1,030.76 = 452.22 : x
  2. Step 2: Convert to fraction form
    746.92/1,030.76 = 452.22/x
  3. Step 3: Cross multiply
    746.92x = 1,030.76 × 452.22
  4. Step 4: Simplify right side
    746.92x = 466,130.29
  5. Step 5: Solve for x
    x = 466,130.29/746.92
  6. Step 6: Final answer
    x = 624.07

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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.