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Finding the Fourth Proportional to 1,043.63, 1,437.89 and 688.92

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Solution

The fourth proportional to 1,043.63, 1,437.89 and 688.92 is: 949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.63 : 1,437.89 = 688.92 : x
  2. Step 2: Convert to fraction form
    1,043.63/1,437.89 = 688.92/x
  3. Step 3: Cross multiply
    1,043.63x = 1,437.89 × 688.92
  4. Step 4: Simplify right side
    1,043.63x = 990,585.86
  5. Step 5: Solve for x
    x = 990,585.86/1,043.63
  6. Step 6: Final answer
    x = 949.18

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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.