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Finding the Fourth Proportional to 1,037.97, 1,557.05 and 297.59

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Solution

The fourth proportional to 1,037.97, 1,557.05 and 297.59 is: 446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.97 : 1,557.05 = 297.59 : x
  2. Step 2: Convert to fraction form
    1,037.97/1,557.05 = 297.59/x
  3. Step 3: Cross multiply
    1,037.97x = 1,557.05 × 297.59
  4. Step 4: Simplify right side
    1,037.97x = 463,353.24
  5. Step 5: Solve for x
    x = 463,353.24/1,037.97
  6. Step 6: Final answer
    x = 446.40

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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.