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Finding the Fourth Proportional to 1,404.34, 1,937.91 and 774.87

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Solution

The fourth proportional to 1,404.34, 1,937.91 and 774.87 is: 1,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.34 : 1,937.91 = 774.87 : x
  2. Step 2: Convert to fraction form
    1,404.34/1,937.91 = 774.87/x
  3. Step 3: Cross multiply
    1,404.34x = 1,937.91 × 774.87
  4. Step 4: Simplify right side
    1,404.34x = 1,501,633.17
  5. Step 5: Solve for x
    x = 1,501,633.17/1,404.34
  6. Step 6: Final answer
    x = 1,069.28

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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.