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Finding the Fourth Proportional to 1,076.35, 1,614.40 and 296.32

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Solution

The fourth proportional to 1,076.35, 1,614.40 and 296.32 is: 444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.35 : 1,614.40 = 296.32 : x
  2. Step 2: Convert to fraction form
    1,076.35/1,614.40 = 296.32/x
  3. Step 3: Cross multiply
    1,076.35x = 1,614.40 × 296.32
  4. Step 4: Simplify right side
    1,076.35x = 478,379.01
  5. Step 5: Solve for x
    x = 478,379.01/1,076.35
  6. Step 6: Final answer
    x = 444.45

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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.