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Finding the Fourth Proportional to 1,437.30, 1,983.32 and 877.90

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Solution

The fourth proportional to 1,437.30, 1,983.32 and 877.90 is: 1,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.30 : 1,983.32 = 877.90 : x
  2. Step 2: Convert to fraction form
    1,437.30/1,983.32 = 877.90/x
  3. Step 3: Cross multiply
    1,437.30x = 1,983.32 × 877.90
  4. Step 4: Simplify right side
    1,437.30x = 1,741,156.63
  5. Step 5: Solve for x
    x = 1,741,156.63/1,437.30
  6. Step 6: Final answer
    x = 1,211.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.