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Finding the Fourth Proportional to 746.94, 1,030.88 and 452.30

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Solution

The fourth proportional to 746.94, 1,030.88 and 452.30 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.94 : 1,030.88 = 452.30 : x
  2. Step 2: Convert to fraction form
    746.94/1,030.88 = 452.30/x
  3. Step 3: Cross multiply
    746.94x = 1,030.88 × 452.30
  4. Step 4: Simplify right side
    746.94x = 466,267.02
  5. Step 5: Solve for x
    x = 466,267.02/746.94
  6. Step 6: Final answer
    x = 624.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.