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Finding the Fourth Proportional to 1,038.33, 1,557.75 and 307.90

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Solution

The fourth proportional to 1,038.33, 1,557.75 and 307.90 is: 461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.33 : 1,557.75 = 307.90 : x
  2. Step 2: Convert to fraction form
    1,038.33/1,557.75 = 307.90/x
  3. Step 3: Cross multiply
    1,038.33x = 1,557.75 × 307.90
  4. Step 4: Simplify right side
    1,038.33x = 479,634.49
  5. Step 5: Solve for x
    x = 479,634.49/1,038.33
  6. Step 6: Final answer
    x = 461.93

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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.