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Finding the Fourth Proportional to 1,158.23, 1,598.43 and 634.26

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Solution

The fourth proportional to 1,158.23, 1,598.43 and 634.26 is: 875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.23 : 1,598.43 = 634.26 : x
  2. Step 2: Convert to fraction form
    1,158.23/1,598.43 = 634.26/x
  3. Step 3: Cross multiply
    1,158.23x = 1,598.43 × 634.26
  4. Step 4: Simplify right side
    1,158.23x = 1,013,828.58
  5. Step 5: Solve for x
    x = 1,013,828.58/1,158.23
  6. Step 6: Final answer
    x = 875.32

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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.