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Finding the Fourth Proportional to 1,038.17, 1,557.34 and 307.69

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Solution

The fourth proportional to 1,038.17, 1,557.34 and 307.69 is: 461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.17 : 1,557.34 = 307.69 : x
  2. Step 2: Convert to fraction form
    1,038.17/1,557.34 = 307.69/x
  3. Step 3: Cross multiply
    1,038.17x = 1,557.34 × 307.69
  4. Step 4: Simplify right side
    1,038.17x = 479,173.28
  5. Step 5: Solve for x
    x = 479,173.28/1,038.17
  6. Step 6: Final answer
    x = 461.55

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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.