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Finding the Fourth Proportional to 1,475.46, 2,214.56 and 745.55

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Solution

The fourth proportional to 1,475.46, 2,214.56 and 745.55 is: 1,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.46 : 2,214.56 = 745.55 : x
  2. Step 2: Convert to fraction form
    1,475.46/2,214.56 = 745.55/x
  3. Step 3: Cross multiply
    1,475.46x = 2,214.56 × 745.55
  4. Step 4: Simplify right side
    1,475.46x = 1,651,061.51
  5. Step 5: Solve for x
    x = 1,651,061.51/1,475.46
  6. Step 6: Final answer
    x = 1,119.01

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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.