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Finding the Fourth Proportional to 1,038.25, 1,557.12 and 307.66

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Solution

The fourth proportional to 1,038.25, 1,557.12 and 307.66 is: 461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.25 : 1,557.12 = 307.66 : x
  2. Step 2: Convert to fraction form
    1,038.25/1,557.12 = 307.66/x
  3. Step 3: Cross multiply
    1,038.25x = 1,557.12 × 307.66
  4. Step 4: Simplify right side
    1,038.25x = 479,062.39
  5. Step 5: Solve for x
    x = 479,062.39/1,038.25
  6. Step 6: Final answer
    x = 461.41

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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.