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Finding the Fourth Proportional to 1,565.14, 2,347.72 and 592.34

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Solution

The fourth proportional to 1,565.14, 2,347.72 and 592.34 is: 888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.14 : 2,347.72 = 592.34 : x
  2. Step 2: Convert to fraction form
    1,565.14/2,347.72 = 592.34/x
  3. Step 3: Cross multiply
    1,565.14x = 2,347.72 × 592.34
  4. Step 4: Simplify right side
    1,565.14x = 1,390,648.46
  5. Step 5: Solve for x
    x = 1,390,648.46/1,565.14
  6. Step 6: Final answer
    x = 888.51

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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.