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Finding the Fourth Proportional to 752.99, 1,038.87 and 458.15

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Solution

The fourth proportional to 752.99, 1,038.87 and 458.15 is: 632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.99 : 1,038.87 = 458.15 : x
  2. Step 2: Convert to fraction form
    752.99/1,038.87 = 458.15/x
  3. Step 3: Cross multiply
    752.99x = 1,038.87 × 458.15
  4. Step 4: Simplify right side
    752.99x = 475,953.10
  5. Step 5: Solve for x
    x = 475,953.10/752.99
  6. Step 6: Final answer
    x = 632.09

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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.