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Finding the Fourth Proportional to 1,038.32, 1,557.47 and 268.82

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Solution

The fourth proportional to 1,038.32, 1,557.47 and 268.82 is: 403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.32 : 1,557.47 = 268.82 : x
  2. Step 2: Convert to fraction form
    1,038.32/1,557.47 = 268.82/x
  3. Step 3: Cross multiply
    1,038.32x = 1,557.47 × 268.82
  4. Step 4: Simplify right side
    1,038.32x = 418,671.30
  5. Step 5: Solve for x
    x = 418,671.30/1,038.32
  6. Step 6: Final answer
    x = 403.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.