Home / 1,209.18-1,670.74-962.66

Finding the Fourth Proportional to 1,209.18, 1,670.74 and 962.66

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Solution

The fourth proportional to 1,209.18, 1,670.74 and 962.66 is: 1,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.18 : 1,670.74 = 962.66 : x
  2. Step 2: Convert to fraction form
    1,209.18/1,670.74 = 962.66/x
  3. Step 3: Cross multiply
    1,209.18x = 1,670.74 × 962.66
  4. Step 4: Simplify right side
    1,209.18x = 1,608,354.57
  5. Step 5: Solve for x
    x = 1,608,354.57/1,209.18
  6. Step 6: Final answer
    x = 1,330.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.