Home / 1,026.24-1,405.58-966.39

Finding the Fourth Proportional to 1,026.24, 1,405.58 and 966.39

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Solution

The fourth proportional to 1,026.24, 1,405.58 and 966.39 is: 1,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.24 : 1,405.58 = 966.39 : x
  2. Step 2: Convert to fraction form
    1,026.24/1,405.58 = 966.39/x
  3. Step 3: Cross multiply
    1,026.24x = 1,405.58 × 966.39
  4. Step 4: Simplify right side
    1,026.24x = 1,358,333.62
  5. Step 5: Solve for x
    x = 1,358,333.62/1,026.24
  6. Step 6: Final answer
    x = 1,323.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.