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Finding the Fourth Proportional to 1,564.35, 2,347.06 and 591

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Solution

The fourth proportional to 1,564.35, 2,347.06 and 591 is: 886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.35 : 2,347.06 = 591 : x
  2. Step 2: Convert to fraction form
    1,564.35/2,347.06 = 591/x
  3. Step 3: Cross multiply
    1,564.35x = 2,347.06 × 591
  4. Step 4: Simplify right side
    1,564.35x = 1,387,112.46
  5. Step 5: Solve for x
    x = 1,387,112.46/1,564.35
  6. Step 6: Final answer
    x = 886.70

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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.