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Finding the Fourth Proportional to 1,037.99, 1,557.38 and 307.57

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Solution

The fourth proportional to 1,037.99, 1,557.38 and 307.57 is: 461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.99 : 1,557.38 = 307.57 : x
  2. Step 2: Convert to fraction form
    1,037.99/1,557.38 = 307.57/x
  3. Step 3: Cross multiply
    1,037.99x = 1,557.38 × 307.57
  4. Step 4: Simplify right side
    1,037.99x = 479,000.24
  5. Step 5: Solve for x
    x = 479,000.24/1,037.99
  6. Step 6: Final answer
    x = 461.47

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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.