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Finding the Fourth Proportional to 1,043.56, 1,565.52 and 313.18

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Solution

The fourth proportional to 1,043.56, 1,565.52 and 313.18 is: 469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.56 : 1,565.52 = 313.18 : x
  2. Step 2: Convert to fraction form
    1,043.56/1,565.52 = 313.18/x
  3. Step 3: Cross multiply
    1,043.56x = 1,565.52 × 313.18
  4. Step 4: Simplify right side
    1,043.56x = 490,289.55
  5. Step 5: Solve for x
    x = 490,289.55/1,043.56
  6. Step 6: Final answer
    x = 469.82

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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.