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Finding the Fourth Proportional to 1,158.03, 1,595.82 and 808.11

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Solution

The fourth proportional to 1,158.03, 1,595.82 and 808.11 is: 1,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.03 : 1,595.82 = 808.11 : x
  2. Step 2: Convert to fraction form
    1,158.03/1,595.82 = 808.11/x
  3. Step 3: Cross multiply
    1,158.03x = 1,595.82 × 808.11
  4. Step 4: Simplify right side
    1,158.03x = 1,289,598.10
  5. Step 5: Solve for x
    x = 1,289,598.10/1,158.03
  6. Step 6: Final answer
    x = 1,113.61

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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.