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Finding the Fourth Proportional to 1,038.39, 1,557.39 and 345.07

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Solution

The fourth proportional to 1,038.39, 1,557.39 and 345.07 is: 517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.39 : 1,557.39 = 345.07 : x
  2. Step 2: Convert to fraction form
    1,038.39/1,557.39 = 345.07/x
  3. Step 3: Cross multiply
    1,038.39x = 1,557.39 × 345.07
  4. Step 4: Simplify right side
    1,038.39x = 537,408.57
  5. Step 5: Solve for x
    x = 537,408.57/1,038.39
  6. Step 6: Final answer
    x = 517.54

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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.