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Finding the Fourth Proportional to 1,158.57, 1,598.84 and 634.56

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Solution

The fourth proportional to 1,158.57, 1,598.84 and 634.56 is: 875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.57 : 1,598.84 = 634.56 : x
  2. Step 2: Convert to fraction form
    1,158.57/1,598.84 = 634.56/x
  3. Step 3: Cross multiply
    1,158.57x = 1,598.84 × 634.56
  4. Step 4: Simplify right side
    1,158.57x = 1,014,556.74
  5. Step 5: Solve for x
    x = 1,014,556.74/1,158.57
  6. Step 6: Final answer
    x = 875.70

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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.