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Finding the Fourth Proportional to 1,177.23, 1,624.80 and 680.09

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Solution

The fourth proportional to 1,177.23, 1,624.80 and 680.09 is: 938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.23 : 1,624.80 = 680.09 : x
  2. Step 2: Convert to fraction form
    1,177.23/1,624.80 = 680.09/x
  3. Step 3: Cross multiply
    1,177.23x = 1,624.80 × 680.09
  4. Step 4: Simplify right side
    1,177.23x = 1,105,013.02
  5. Step 5: Solve for x
    x = 1,105,013.02/1,177.23
  6. Step 6: Final answer
    x = 938.66

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1.5x scale

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.