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Finding the Fourth Proportional to 1,575.62, 2,362.61 and 588.03

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Solution

The fourth proportional to 1,575.62, 2,362.61 and 588.03 is: 881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.62 : 2,362.61 = 588.03 : x
  2. Step 2: Convert to fraction form
    1,575.62/2,362.61 = 588.03/x
  3. Step 3: Cross multiply
    1,575.62x = 2,362.61 × 588.03
  4. Step 4: Simplify right side
    1,575.62x = 1,389,282.62
  5. Step 5: Solve for x
    x = 1,389,282.62/1,575.62
  6. Step 6: Final answer
    x = 881.74

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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.