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Finding the Fourth Proportional to 1,087.30, 1,501.17 and 838.16

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Solution

The fourth proportional to 1,087.30, 1,501.17 and 838.16 is: 1,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.30 : 1,501.17 = 838.16 : x
  2. Step 2: Convert to fraction form
    1,087.30/1,501.17 = 838.16/x
  3. Step 3: Cross multiply
    1,087.30x = 1,501.17 × 838.16
  4. Step 4: Simplify right side
    1,087.30x = 1,258,215.63
  5. Step 5: Solve for x
    x = 1,258,215.63/1,087.30
  6. Step 6: Final answer
    x = 1,157.19

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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.