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Finding the Fourth Proportional to 1,038.39, 1,557.59 and 307.91

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Solution

The fourth proportional to 1,038.39, 1,557.59 and 307.91 is: 461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.39 : 1,557.59 = 307.91 : x
  2. Step 2: Convert to fraction form
    1,038.39/1,557.59 = 307.91/x
  3. Step 3: Cross multiply
    1,038.39x = 1,557.59 × 307.91
  4. Step 4: Simplify right side
    1,038.39x = 479,604.25
  5. Step 5: Solve for x
    x = 479,604.25/1,038.39
  6. Step 6: Final answer
    x = 461.87

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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.