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Finding the Fourth Proportional to 1,404.25, 1,937.91 and 783.25

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Solution

The fourth proportional to 1,404.25, 1,937.91 and 783.25 is: 1,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.25 : 1,937.91 = 783.25 : x
  2. Step 2: Convert to fraction form
    1,404.25/1,937.91 = 783.25/x
  3. Step 3: Cross multiply
    1,404.25x = 1,937.91 × 783.25
  4. Step 4: Simplify right side
    1,404.25x = 1,517,868.01
  5. Step 5: Solve for x
    x = 1,517,868.01/1,404.25
  6. Step 6: Final answer
    x = 1,080.91

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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.