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Finding the Fourth Proportional to 1,566.77, 2,349.07 and 592.04

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Solution

The fourth proportional to 1,566.77, 2,349.07 and 592.04 is: 887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.77 : 2,349.07 = 592.04 : x
  2. Step 2: Convert to fraction form
    1,566.77/2,349.07 = 592.04/x
  3. Step 3: Cross multiply
    1,566.77x = 2,349.07 × 592.04
  4. Step 4: Simplify right side
    1,566.77x = 1,390,747.80
  5. Step 5: Solve for x
    x = 1,390,747.80/1,566.77
  6. Step 6: Final answer
    x = 887.66

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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.