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Finding the Fourth Proportional to 947.07, 1,421.01 and 514.17

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Solution

The fourth proportional to 947.07, 1,421.01 and 514.17 is: 771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.07 : 1,421.01 = 514.17 : x
  2. Step 2: Convert to fraction form
    947.07/1,421.01 = 514.17/x
  3. Step 3: Cross multiply
    947.07x = 1,421.01 × 514.17
  4. Step 4: Simplify right side
    947.07x = 730,640.71
  5. Step 5: Solve for x
    x = 730,640.71/947.07
  6. Step 6: Final answer
    x = 771.47

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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.