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Finding the Fourth Proportional to 1,156.74, 1,595.29 and 819.98

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Solution

The fourth proportional to 1,156.74, 1,595.29 and 819.98 is: 1,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.74 : 1,595.29 = 819.98 : x
  2. Step 2: Convert to fraction form
    1,156.74/1,595.29 = 819.98/x
  3. Step 3: Cross multiply
    1,156.74x = 1,595.29 × 819.98
  4. Step 4: Simplify right side
    1,156.74x = 1,308,098.17
  5. Step 5: Solve for x
    x = 1,308,098.17/1,156.74
  6. Step 6: Final answer
    x = 1,130.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.