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Finding the Fourth Proportional to 959.31, 1,437.28 and 683.98

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Solution

The fourth proportional to 959.31, 1,437.28 and 683.98 is: 1,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.31 : 1,437.28 = 683.98 : x
  2. Step 2: Convert to fraction form
    959.31/1,437.28 = 683.98/x
  3. Step 3: Cross multiply
    959.31x = 1,437.28 × 683.98
  4. Step 4: Simplify right side
    959.31x = 983,065.47
  5. Step 5: Solve for x
    x = 983,065.47/959.31
  6. Step 6: Final answer
    x = 1,024.76

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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.