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Finding the Fourth Proportional to 1,043.37, 1,565.27 and 312.88

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Solution

The fourth proportional to 1,043.37, 1,565.27 and 312.88 is: 469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.37 : 1,565.27 = 312.88 : x
  2. Step 2: Convert to fraction form
    1,043.37/1,565.27 = 312.88/x
  3. Step 3: Cross multiply
    1,043.37x = 1,565.27 × 312.88
  4. Step 4: Simplify right side
    1,043.37x = 489,741.68
  5. Step 5: Solve for x
    x = 489,741.68/1,043.37
  6. Step 6: Final answer
    x = 469.39

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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.