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Finding the Fourth Proportional to 1,098.16, 1,515.50 and 600.84

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Solution

The fourth proportional to 1,098.16, 1,515.50 and 600.84 is: 829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.16 : 1,515.50 = 600.84 : x
  2. Step 2: Convert to fraction form
    1,098.16/1,515.50 = 600.84/x
  3. Step 3: Cross multiply
    1,098.16x = 1,515.50 × 600.84
  4. Step 4: Simplify right side
    1,098.16x = 910,572.27
  5. Step 5: Solve for x
    x = 910,572.27/1,098.16
  6. Step 6: Final answer
    x = 829.18

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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.