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Finding the Fourth Proportional to 1,071.92, 1,608.48 and 585.11

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Solution

The fourth proportional to 1,071.92, 1,608.48 and 585.11 is: 877.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.92 : 1,608.48 = 585.11 : x
  2. Step 2: Convert to fraction form
    1,071.92/1,608.48 = 585.11/x
  3. Step 3: Cross multiply
    1,071.92x = 1,608.48 × 585.11
  4. Step 4: Simplify right side
    1,071.92x = 941,129.69
  5. Step 5: Solve for x
    x = 941,129.69/1,071.92
  6. Step 6: Final answer
    x = 877.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.