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Finding the Fourth Proportional to 846.80, 1,271.55 and 574.10

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Solution

The fourth proportional to 846.80, 1,271.55 and 574.10 is: 862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.80 : 1,271.55 = 574.10 : x
  2. Step 2: Convert to fraction form
    846.80/1,271.55 = 574.10/x
  3. Step 3: Cross multiply
    846.80x = 1,271.55 × 574.10
  4. Step 4: Simplify right side
    846.80x = 729,996.86
  5. Step 5: Solve for x
    x = 729,996.86/846.80
  6. Step 6: Final answer
    x = 862.07

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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.