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Finding the Fourth Proportional to 1,132.51, 1,562.79 and 635.17

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Solution

The fourth proportional to 1,132.51, 1,562.79 and 635.17 is: 876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.51 : 1,562.79 = 635.17 : x
  2. Step 2: Convert to fraction form
    1,132.51/1,562.79 = 635.17/x
  3. Step 3: Cross multiply
    1,132.51x = 1,562.79 × 635.17
  4. Step 4: Simplify right side
    1,132.51x = 992,637.32
  5. Step 5: Solve for x
    x = 992,637.32/1,132.51
  6. Step 6: Final answer
    x = 876.49

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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.