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Finding the Fourth Proportional to 1,098.16, 1,515.27 and 632.32

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Solution

The fourth proportional to 1,098.16, 1,515.27 and 632.32 is: 872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.16 : 1,515.27 = 632.32 : x
  2. Step 2: Convert to fraction form
    1,098.16/1,515.27 = 632.32/x
  3. Step 3: Cross multiply
    1,098.16x = 1,515.27 × 632.32
  4. Step 4: Simplify right side
    1,098.16x = 958,135.53
  5. Step 5: Solve for x
    x = 958,135.53/1,098.16
  6. Step 6: Final answer
    x = 872.49

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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.