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Finding the Fourth Proportional to 1,575.98, 2,363.78 and 753.02

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Solution

The fourth proportional to 1,575.98, 2,363.78 and 753.02 is: 1,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.98 : 2,363.78 = 753.02 : x
  2. Step 2: Convert to fraction form
    1,575.98/2,363.78 = 753.02/x
  3. Step 3: Cross multiply
    1,575.98x = 2,363.78 × 753.02
  4. Step 4: Simplify right side
    1,575.98x = 1,779,973.62
  5. Step 5: Solve for x
    x = 1,779,973.62/1,575.98
  6. Step 6: Final answer
    x = 1,129.44

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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.