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Finding the Fourth Proportional to 1,277.23, 1,915.85 and 400.04

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Solution

The fourth proportional to 1,277.23, 1,915.85 and 400.04 is: 600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.23 : 1,915.85 = 400.04 : x
  2. Step 2: Convert to fraction form
    1,277.23/1,915.85 = 400.04/x
  3. Step 3: Cross multiply
    1,277.23x = 1,915.85 × 400.04
  4. Step 4: Simplify right side
    1,277.23x = 766,412.71
  5. Step 5: Solve for x
    x = 766,412.71/1,277.23
  6. Step 6: Final answer
    x = 600.06

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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.