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Finding the Fourth Proportional to 914.73, 1,371.45 and 469.13

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Solution

The fourth proportional to 914.73, 1,371.45 and 469.13 is: 703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.73 : 1,371.45 = 469.13 : x
  2. Step 2: Convert to fraction form
    914.73/1,371.45 = 469.13/x
  3. Step 3: Cross multiply
    914.73x = 1,371.45 × 469.13
  4. Step 4: Simplify right side
    914.73x = 643,388.34
  5. Step 5: Solve for x
    x = 643,388.34/914.73
  6. Step 6: Final answer
    x = 703.36

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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.