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Finding the Fourth Proportional to 1,038.48, 1,557.72 and 269.04

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Solution

The fourth proportional to 1,038.48, 1,557.72 and 269.04 is: 403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.48 : 1,557.72 = 269.04 : x
  2. Step 2: Convert to fraction form
    1,038.48/1,557.72 = 269.04/x
  3. Step 3: Cross multiply
    1,038.48x = 1,557.72 × 269.04
  4. Step 4: Simplify right side
    1,038.48x = 419,088.99
  5. Step 5: Solve for x
    x = 419,088.99/1,038.48
  6. Step 6: Final answer
    x = 403.56

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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.