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Finding the Fourth Proportional to 1,137.60, 1,569.98 and 659.22

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Solution

The fourth proportional to 1,137.60, 1,569.98 and 659.22 is: 909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.60 : 1,569.98 = 659.22 : x
  2. Step 2: Convert to fraction form
    1,137.60/1,569.98 = 659.22/x
  3. Step 3: Cross multiply
    1,137.60x = 1,569.98 × 659.22
  4. Step 4: Simplify right side
    1,137.60x = 1,034,962.22
  5. Step 5: Solve for x
    x = 1,034,962.22/1,137.60
  6. Step 6: Final answer
    x = 909.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.