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Finding the Fourth Proportional to 1,404.60, 1,938.39 and 775.14

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Solution

The fourth proportional to 1,404.60, 1,938.39 and 775.14 is: 1,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.60 : 1,938.39 = 775.14 : x
  2. Step 2: Convert to fraction form
    1,404.60/1,938.39 = 775.14/x
  3. Step 3: Cross multiply
    1,404.60x = 1,938.39 × 775.14
  4. Step 4: Simplify right side
    1,404.60x = 1,502,510.06
  5. Step 5: Solve for x
    x = 1,502,510.06/1,404.60
  6. Step 6: Final answer
    x = 1,069.71

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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.