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Finding the Fourth Proportional to 1,043.74, 1,565.29 and 313.12

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Solution

The fourth proportional to 1,043.74, 1,565.29 and 313.12 is: 469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.74 : 1,565.29 = 313.12 : x
  2. Step 2: Convert to fraction form
    1,043.74/1,565.29 = 313.12/x
  3. Step 3: Cross multiply
    1,043.74x = 1,565.29 × 313.12
  4. Step 4: Simplify right side
    1,043.74x = 490,123.60
  5. Step 5: Solve for x
    x = 490,123.60/1,043.74
  6. Step 6: Final answer
    x = 469.58

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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.