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Finding the Fourth Proportional to 1,166.98, 1,750.86 and 1,037.92

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Solution

The fourth proportional to 1,166.98, 1,750.86 and 1,037.92 is: 1,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.98 : 1,750.86 = 1,037.92 : x
  2. Step 2: Convert to fraction form
    1,166.98/1,750.86 = 1,037.92/x
  3. Step 3: Cross multiply
    1,166.98x = 1,750.86 × 1,037.92
  4. Step 4: Simplify right side
    1,166.98x = 1,817,252.61
  5. Step 5: Solve for x
    x = 1,817,252.61/1,166.98
  6. Step 6: Final answer
    x = 1,557.23

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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.