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Finding the Fourth Proportional to 1,177.30, 1,765.33 and 397.04

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Solution

The fourth proportional to 1,177.30, 1,765.33 and 397.04 is: 595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.30 : 1,765.33 = 397.04 : x
  2. Step 2: Convert to fraction form
    1,177.30/1,765.33 = 397.04/x
  3. Step 3: Cross multiply
    1,177.30x = 1,765.33 × 397.04
  4. Step 4: Simplify right side
    1,177.30x = 700,904.64
  5. Step 5: Solve for x
    x = 700,904.64/1,177.30
  6. Step 6: Final answer
    x = 595.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.