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Finding the Fourth Proportional to 1,037.52, 1,557.23 and 807.89

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Solution

The fourth proportional to 1,037.52, 1,557.23 and 807.89 is: 1,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.52 : 1,557.23 = 807.89 : x
  2. Step 2: Convert to fraction form
    1,037.52/1,557.23 = 807.89/x
  3. Step 3: Cross multiply
    1,037.52x = 1,557.23 × 807.89
  4. Step 4: Simplify right side
    1,037.52x = 1,258,060.74
  5. Step 5: Solve for x
    x = 1,258,060.74/1,037.52
  6. Step 6: Final answer
    x = 1,212.57

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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.