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Finding the Fourth Proportional to 1,038.90, 1,557.91 and 345.38

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Solution

The fourth proportional to 1,038.90, 1,557.91 and 345.38 is: 517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.90 : 1,557.91 = 345.38 : x
  2. Step 2: Convert to fraction form
    1,038.90/1,557.91 = 345.38/x
  3. Step 3: Cross multiply
    1,038.90x = 1,557.91 × 345.38
  4. Step 4: Simplify right side
    1,038.90x = 538,069.23
  5. Step 5: Solve for x
    x = 538,069.23/1,038.90
  6. Step 6: Final answer
    x = 517.92

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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.