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Finding the Fourth Proportional to 1,404.66, 1,938.42 and 775.18

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Solution

The fourth proportional to 1,404.66, 1,938.42 and 775.18 is: 1,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.66 : 1,938.42 = 775.18 : x
  2. Step 2: Convert to fraction form
    1,404.66/1,938.42 = 775.18/x
  3. Step 3: Cross multiply
    1,404.66x = 1,938.42 × 775.18
  4. Step 4: Simplify right side
    1,404.66x = 1,502,633.29
  5. Step 5: Solve for x
    x = 1,502,633.29/1,404.66
  6. Step 6: Final answer
    x = 1,069.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.