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Finding the Fourth Proportional to 1,177.23, 1,624.62 and 653.25

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Solution

The fourth proportional to 1,177.23, 1,624.62 and 653.25 is: 901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.23 : 1,624.62 = 653.25 : x
  2. Step 2: Convert to fraction form
    1,177.23/1,624.62 = 653.25/x
  3. Step 3: Cross multiply
    1,177.23x = 1,624.62 × 653.25
  4. Step 4: Simplify right side
    1,177.23x = 1,061,283.02
  5. Step 5: Solve for x
    x = 1,061,283.02/1,177.23
  6. Step 6: Final answer
    x = 901.51

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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.