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Finding the Fourth Proportional to 947.55, 1,421.64 and 460.47

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Solution

The fourth proportional to 947.55, 1,421.64 and 460.47 is: 690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.55 : 1,421.64 = 460.47 : x
  2. Step 2: Convert to fraction form
    947.55/1,421.64 = 460.47/x
  3. Step 3: Cross multiply
    947.55x = 1,421.64 × 460.47
  4. Step 4: Simplify right side
    947.55x = 654,622.57
  5. Step 5: Solve for x
    x = 654,622.57/947.55
  6. Step 6: Final answer
    x = 690.86

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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.