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Finding the Fourth Proportional to 848.99, 1,171.24 and 586.55

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Solution

The fourth proportional to 848.99, 1,171.24 and 586.55 is: 809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.99 : 1,171.24 = 586.55 : x
  2. Step 2: Convert to fraction form
    848.99/1,171.24 = 586.55/x
  3. Step 3: Cross multiply
    848.99x = 1,171.24 × 586.55
  4. Step 4: Simplify right side
    848.99x = 686,983.50
  5. Step 5: Solve for x
    x = 686,983.50/848.99
  6. Step 6: Final answer
    x = 809.18

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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.