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Finding the Fourth Proportional to 901.16, 1,244.14 and 586.52

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Solution

The fourth proportional to 901.16, 1,244.14 and 586.52 is: 809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.16 : 1,244.14 = 586.52 : x
  2. Step 2: Convert to fraction form
    901.16/1,244.14 = 586.52/x
  3. Step 3: Cross multiply
    901.16x = 1,244.14 × 586.52
  4. Step 4: Simplify right side
    901.16x = 729,712.99
  5. Step 5: Solve for x
    x = 729,712.99/901.16
  6. Step 6: Final answer
    x = 809.75

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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.