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Finding the Fourth Proportional to 959.12, 1,437.76 and 611.47

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Solution

The fourth proportional to 959.12, 1,437.76 and 611.47 is: 916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.12 : 1,437.76 = 611.47 : x
  2. Step 2: Convert to fraction form
    959.12/1,437.76 = 611.47/x
  3. Step 3: Cross multiply
    959.12x = 1,437.76 × 611.47
  4. Step 4: Simplify right side
    959.12x = 879,147.11
  5. Step 5: Solve for x
    x = 879,147.11/959.12
  6. Step 6: Final answer
    x = 916.62

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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.