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Finding the Fourth Proportional to 847.42, 1,271.12 and 477.25

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Solution

The fourth proportional to 847.42, 1,271.12 and 477.25 is: 715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.42 : 1,271.12 = 477.25 : x
  2. Step 2: Convert to fraction form
    847.42/1,271.12 = 477.25/x
  3. Step 3: Cross multiply
    847.42x = 1,271.12 × 477.25
  4. Step 4: Simplify right side
    847.42x = 606,642.02
  5. Step 5: Solve for x
    x = 606,642.02/847.42
  6. Step 6: Final answer
    x = 715.87

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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.