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Finding the Fourth Proportional to 1,038.23, 1,557.32 and 258.23

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Solution

The fourth proportional to 1,038.23, 1,557.32 and 258.23 is: 387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.23 : 1,557.32 = 258.23 : x
  2. Step 2: Convert to fraction form
    1,038.23/1,557.32 = 258.23/x
  3. Step 3: Cross multiply
    1,038.23x = 1,557.32 × 258.23
  4. Step 4: Simplify right side
    1,038.23x = 402,149.35
  5. Step 5: Solve for x
    x = 402,149.35/1,038.23
  6. Step 6: Final answer
    x = 387.34

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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.