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Finding the Fourth Proportional to 1,043.40, 1,565.04 and 312.96

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Solution

The fourth proportional to 1,043.40, 1,565.04 and 312.96 is: 469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.40 : 1,565.04 = 312.96 : x
  2. Step 2: Convert to fraction form
    1,043.40/1,565.04 = 312.96/x
  3. Step 3: Cross multiply
    1,043.40x = 1,565.04 × 312.96
  4. Step 4: Simplify right side
    1,043.40x = 489,794.92
  5. Step 5: Solve for x
    x = 489,794.92/1,043.40
  6. Step 6: Final answer
    x = 469.42

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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.