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Finding the Fourth Proportional to 1,037.84, 1,432.26 and 618.08

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Solution

The fourth proportional to 1,037.84, 1,432.26 and 618.08 is: 852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.84 : 1,432.26 = 618.08 : x
  2. Step 2: Convert to fraction form
    1,037.84/1,432.26 = 618.08/x
  3. Step 3: Cross multiply
    1,037.84x = 1,432.26 × 618.08
  4. Step 4: Simplify right side
    1,037.84x = 885,251.26
  5. Step 5: Solve for x
    x = 885,251.26/1,037.84
  6. Step 6: Final answer
    x = 852.97

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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.