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Finding the Fourth Proportional to 1,420.32, 2,129.76 and 597.72

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Solution

The fourth proportional to 1,420.32, 2,129.76 and 597.72 is: 896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.32 : 2,129.76 = 597.72 : x
  2. Step 2: Convert to fraction form
    1,420.32/2,129.76 = 597.72/x
  3. Step 3: Cross multiply
    1,420.32x = 2,129.76 × 597.72
  4. Step 4: Simplify right side
    1,420.32x = 1,273,000.15
  5. Step 5: Solve for x
    x = 1,273,000.15/1,420.32
  6. Step 6: Final answer
    x = 896.28

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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.