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Finding the Fourth Proportional to 1,130.62, 1,560.36 and 658.66

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Solution

The fourth proportional to 1,130.62, 1,560.36 and 658.66 is: 909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.62 : 1,560.36 = 658.66 : x
  2. Step 2: Convert to fraction form
    1,130.62/1,560.36 = 658.66/x
  3. Step 3: Cross multiply
    1,130.62x = 1,560.36 × 658.66
  4. Step 4: Simplify right side
    1,130.62x = 1,027,746.72
  5. Step 5: Solve for x
    x = 1,027,746.72/1,130.62
  6. Step 6: Final answer
    x = 909.01

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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.