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Finding the Fourth Proportional to 959.10, 1,437.93 and 766.14

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Solution

The fourth proportional to 959.10, 1,437.93 and 766.14 is: 1,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.10 : 1,437.93 = 766.14 : x
  2. Step 2: Convert to fraction form
    959.10/1,437.93 = 766.14/x
  3. Step 3: Cross multiply
    959.10x = 1,437.93 × 766.14
  4. Step 4: Simplify right side
    959.10x = 1,101,655.69
  5. Step 5: Solve for x
    x = 1,101,655.69/959.10
  6. Step 6: Final answer
    x = 1,148.63

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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.