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Finding the Fourth Proportional to 1,101.58, 1,650.23 and 613.15

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Solution

The fourth proportional to 1,101.58, 1,650.23 and 613.15 is: 918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.58 : 1,650.23 = 613.15 : x
  2. Step 2: Convert to fraction form
    1,101.58/1,650.23 = 613.15/x
  3. Step 3: Cross multiply
    1,101.58x = 1,650.23 × 613.15
  4. Step 4: Simplify right side
    1,101.58x = 1,011,838.52
  5. Step 5: Solve for x
    x = 1,011,838.52/1,101.58
  6. Step 6: Final answer
    x = 918.53

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