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Finding the Fourth Proportional to 746.87, 1,117.53 and 460.62

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Solution

The fourth proportional to 746.87, 1,117.53 and 460.62 is: 689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.87 : 1,117.53 = 460.62 : x
  2. Step 2: Convert to fraction form
    746.87/1,117.53 = 460.62/x
  3. Step 3: Cross multiply
    746.87x = 1,117.53 × 460.62
  4. Step 4: Simplify right side
    746.87x = 514,756.67
  5. Step 5: Solve for x
    x = 514,756.67/746.87
  6. Step 6: Final answer
    x = 689.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.