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Finding the Fourth Proportional to 1,098.88, 1,649.02 and 709.16

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Solution

The fourth proportional to 1,098.88, 1,649.02 and 709.16 is: 1,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.88 : 1,649.02 = 709.16 : x
  2. Step 2: Convert to fraction form
    1,098.88/1,649.02 = 709.16/x
  3. Step 3: Cross multiply
    1,098.88x = 1,649.02 × 709.16
  4. Step 4: Simplify right side
    1,098.88x = 1,169,419.02
  5. Step 5: Solve for x
    x = 1,169,419.02/1,098.88
  6. Step 6: Final answer
    x = 1,064.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.