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Finding the Fourth Proportional to 1,565.13, 2,347.83 and 410.88

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Solution

The fourth proportional to 1,565.13, 2,347.83 and 410.88 is: 616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.13 : 2,347.83 = 410.88 : x
  2. Step 2: Convert to fraction form
    1,565.13/2,347.83 = 410.88/x
  3. Step 3: Cross multiply
    1,565.13x = 2,347.83 × 410.88
  4. Step 4: Simplify right side
    1,565.13x = 964,676.39
  5. Step 5: Solve for x
    x = 964,676.39/1,565.13
  6. Step 6: Final answer
    x = 616.36

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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.