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Finding the Fourth Proportional to 1,037.66, 1,432.05 and 595.58

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Solution

The fourth proportional to 1,037.66, 1,432.05 and 595.58 is: 821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.66 : 1,432.05 = 595.58 : x
  2. Step 2: Convert to fraction form
    1,037.66/1,432.05 = 595.58/x
  3. Step 3: Cross multiply
    1,037.66x = 1,432.05 × 595.58
  4. Step 4: Simplify right side
    1,037.66x = 852,900.34
  5. Step 5: Solve for x
    x = 852,900.34/1,037.66
  6. Step 6: Final answer
    x = 821.95

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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.