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Finding the Fourth Proportional to 1,170.42, 1,756.26 and 477.42

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Solution

The fourth proportional to 1,170.42, 1,756.26 and 477.42 is: 716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.42 : 1,756.26 = 477.42 : x
  2. Step 2: Convert to fraction form
    1,170.42/1,756.26 = 477.42/x
  3. Step 3: Cross multiply
    1,170.42x = 1,756.26 × 477.42
  4. Step 4: Simplify right side
    1,170.42x = 838,473.65
  5. Step 5: Solve for x
    x = 838,473.65/1,170.42
  6. Step 6: Final answer
    x = 716.39

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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.