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Finding the Fourth Proportional to 956.26, 1,430.76 and 566.47

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Solution

The fourth proportional to 956.26, 1,430.76 and 566.47 is: 847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.26 : 1,430.76 = 566.47 : x
  2. Step 2: Convert to fraction form
    956.26/1,430.76 = 566.47/x
  3. Step 3: Cross multiply
    956.26x = 1,430.76 × 566.47
  4. Step 4: Simplify right side
    956.26x = 810,475.46
  5. Step 5: Solve for x
    x = 810,475.46/956.26
  6. Step 6: Final answer
    x = 847.55

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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.