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Finding the Fourth Proportional to 1,053.24, 1,580.62 and 591.40

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Solution

The fourth proportional to 1,053.24, 1,580.62 and 591.40 is: 887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.24 : 1,580.62 = 591.40 : x
  2. Step 2: Convert to fraction form
    1,053.24/1,580.62 = 591.40/x
  3. Step 3: Cross multiply
    1,053.24x = 1,580.62 × 591.40
  4. Step 4: Simplify right side
    1,053.24x = 934,778.67
  5. Step 5: Solve for x
    x = 934,778.67/1,053.24
  6. Step 6: Final answer
    x = 887.53

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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.