Home / 1,158.13-1,598.21-634.16

Finding the Fourth Proportional to 1,158.13, 1,598.21 and 634.16

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Solution

The fourth proportional to 1,158.13, 1,598.21 and 634.16 is: 875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.13 : 1,598.21 = 634.16 : x
  2. Step 2: Convert to fraction form
    1,158.13/1,598.21 = 634.16/x
  3. Step 3: Cross multiply
    1,158.13x = 1,598.21 × 634.16
  4. Step 4: Simplify right side
    1,158.13x = 1,013,518.44
  5. Step 5: Solve for x
    x = 1,013,518.44/1,158.13
  6. Step 6: Final answer
    x = 875.14

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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.