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Finding the Fourth Proportional to 1,575.76, 2,363.72 and 535.88

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Solution

The fourth proportional to 1,575.76, 2,363.72 and 535.88 is: 803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.76 : 2,363.72 = 535.88 : x
  2. Step 2: Convert to fraction form
    1,575.76/2,363.72 = 535.88/x
  3. Step 3: Cross multiply
    1,575.76x = 2,363.72 × 535.88
  4. Step 4: Simplify right side
    1,575.76x = 1,266,670.27
  5. Step 5: Solve for x
    x = 1,266,670.27/1,575.76
  6. Step 6: Final answer
    x = 803.85

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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.