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Finding the Fourth Proportional to 1,564.77, 2,347.47 and 590.88

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Solution

The fourth proportional to 1,564.77, 2,347.47 and 590.88 is: 886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.77 : 2,347.47 = 590.88 : x
  2. Step 2: Convert to fraction form
    1,564.77/2,347.47 = 590.88/x
  3. Step 3: Cross multiply
    1,564.77x = 2,347.47 × 590.88
  4. Step 4: Simplify right side
    1,564.77x = 1,387,073.07
  5. Step 5: Solve for x
    x = 1,387,073.07/1,564.77
  6. Step 6: Final answer
    x = 886.44

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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.