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Finding the Fourth Proportional to 1,158.18, 1,598.19 and 654.01

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Solution

The fourth proportional to 1,158.18, 1,598.19 and 654.01 is: 902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.18 : 1,598.19 = 654.01 : x
  2. Step 2: Convert to fraction form
    1,158.18/1,598.19 = 654.01/x
  3. Step 3: Cross multiply
    1,158.18x = 1,598.19 × 654.01
  4. Step 4: Simplify right side
    1,158.18x = 1,045,232.24
  5. Step 5: Solve for x
    x = 1,045,232.24/1,158.18
  6. Step 6: Final answer
    x = 902.48

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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.