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Finding the Fourth Proportional to 1,564.83, 2,347.65 and 591.01

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Solution

The fourth proportional to 1,564.83, 2,347.65 and 591.01 is: 886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.83 : 2,347.65 = 591.01 : x
  2. Step 2: Convert to fraction form
    1,564.83/2,347.65 = 591.01/x
  3. Step 3: Cross multiply
    1,564.83x = 2,347.65 × 591.01
  4. Step 4: Simplify right side
    1,564.83x = 1,387,478.76
  5. Step 5: Solve for x
    x = 1,387,478.76/1,564.83
  6. Step 6: Final answer
    x = 886.66

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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.