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Finding the Fourth Proportional to 1,565.03, 2,347.59 and 742.88

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Solution

The fourth proportional to 1,565.03, 2,347.59 and 742.88 is: 1,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.03 : 2,347.59 = 742.88 : x
  2. Step 2: Convert to fraction form
    1,565.03/2,347.59 = 742.88/x
  3. Step 3: Cross multiply
    1,565.03x = 2,347.59 × 742.88
  4. Step 4: Simplify right side
    1,565.03x = 1,743,964.06
  5. Step 5: Solve for x
    x = 1,743,964.06/1,565.03
  6. Step 6: Final answer
    x = 1,114.34

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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.