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Finding the Fourth Proportional to 1,037.32, 1,431.54 and 617.80

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Solution

The fourth proportional to 1,037.32, 1,431.54 and 617.80 is: 852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.32 : 1,431.54 = 617.80 : x
  2. Step 2: Convert to fraction form
    1,037.32/1,431.54 = 617.80/x
  3. Step 3: Cross multiply
    1,037.32x = 1,431.54 × 617.80
  4. Step 4: Simplify right side
    1,037.32x = 884,405.41
  5. Step 5: Solve for x
    x = 884,405.41/1,037.32
  6. Step 6: Final answer
    x = 852.59

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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.