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Finding the Fourth Proportional to 752.69, 1,038.61 and 491.06

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Solution

The fourth proportional to 752.69, 1,038.61 and 491.06 is: 677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.69 : 1,038.61 = 491.06 : x
  2. Step 2: Convert to fraction form
    752.69/1,038.61 = 491.06/x
  3. Step 3: Cross multiply
    752.69x = 1,038.61 × 491.06
  4. Step 4: Simplify right side
    752.69x = 510,019.83
  5. Step 5: Solve for x
    x = 510,019.83/752.69
  6. Step 6: Final answer
    x = 677.60

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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.