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Finding the Fourth Proportional to 1,158.09, 1,598.16 and 634.11

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Solution

The fourth proportional to 1,158.09, 1,598.16 and 634.11 is: 875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.09 : 1,598.16 = 634.11 : x
  2. Step 2: Convert to fraction form
    1,158.09/1,598.16 = 634.11/x
  3. Step 3: Cross multiply
    1,158.09x = 1,598.16 × 634.11
  4. Step 4: Simplify right side
    1,158.09x = 1,013,409.24
  5. Step 5: Solve for x
    x = 1,013,409.24/1,158.09
  6. Step 6: Final answer
    x = 875.07

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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.