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Finding the Fourth Proportional to 1,169.80, 1,754.70 and 975.40

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Solution

The fourth proportional to 1,169.80, 1,754.70 and 975.40 is: 1,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.80 : 1,754.70 = 975.40 : x
  2. Step 2: Convert to fraction form
    1,169.80/1,754.70 = 975.40/x
  3. Step 3: Cross multiply
    1,169.80x = 1,754.70 × 975.40
  4. Step 4: Simplify right side
    1,169.80x = 1,711,534.38
  5. Step 5: Solve for x
    x = 1,711,534.38/1,169.80
  6. Step 6: Final answer
    x = 1,463.10

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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.