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Finding the Fourth Proportional to 1,043.57, 1,565.36 and 313.25

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Solution

The fourth proportional to 1,043.57, 1,565.36 and 313.25 is: 469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.57 : 1,565.36 = 313.25 : x
  2. Step 2: Convert to fraction form
    1,043.57/1,565.36 = 313.25/x
  3. Step 3: Cross multiply
    1,043.57x = 1,565.36 × 313.25
  4. Step 4: Simplify right side
    1,043.57x = 490,339.63
  5. Step 5: Solve for x
    x = 490,339.63/1,043.57
  6. Step 6: Final answer
    x = 469.87

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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.