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Finding the Fourth Proportional to 870.03, 1,200.62 and 471.67

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Solution

The fourth proportional to 870.03, 1,200.62 and 471.67 is: 650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.03 : 1,200.62 = 471.67 : x
  2. Step 2: Convert to fraction form
    870.03/1,200.62 = 471.67/x
  3. Step 3: Cross multiply
    870.03x = 1,200.62 × 471.67
  4. Step 4: Simplify right side
    870.03x = 566,296.44
  5. Step 5: Solve for x
    x = 566,296.44/870.03
  6. Step 6: Final answer
    x = 650.89

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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.