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Finding the Fourth Proportional to 1,565.30, 2,347.61 and 688.07

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Solution

The fourth proportional to 1,565.30, 2,347.61 and 688.07 is: 1,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.30 : 2,347.61 = 688.07 : x
  2. Step 2: Convert to fraction form
    1,565.30/2,347.61 = 688.07/x
  3. Step 3: Cross multiply
    1,565.30x = 2,347.61 × 688.07
  4. Step 4: Simplify right side
    1,565.30x = 1,615,304.83
  5. Step 5: Solve for x
    x = 1,615,304.83/1,565.30
  6. Step 6: Final answer
    x = 1,031.95

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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.