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Finding the Fourth Proportional to 1,054.92, 1,580.34 and 591.28

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Solution

The fourth proportional to 1,054.92, 1,580.34 and 591.28 is: 885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.92 : 1,580.34 = 591.28 : x
  2. Step 2: Convert to fraction form
    1,054.92/1,580.34 = 591.28/x
  3. Step 3: Cross multiply
    1,054.92x = 1,580.34 × 591.28
  4. Step 4: Simplify right side
    1,054.92x = 934,423.44
  5. Step 5: Solve for x
    x = 934,423.44/1,054.92
  6. Step 6: Final answer
    x = 885.78

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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.