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Finding the Fourth Proportional to 1,575.50, 2,359.63 and 880.63

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Solution

The fourth proportional to 1,575.50, 2,359.63 and 880.63 is: 1,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.50 : 2,359.63 = 880.63 : x
  2. Step 2: Convert to fraction form
    1,575.50/2,359.63 = 880.63/x
  3. Step 3: Cross multiply
    1,575.50x = 2,359.63 × 880.63
  4. Step 4: Simplify right side
    1,575.50x = 2,077,960.97
  5. Step 5: Solve for x
    x = 2,077,960.97/1,575.50
  6. Step 6: Final answer
    x = 1,318.92

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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.