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Finding the Fourth Proportional to 875.97, 1,314.66 and 465.36

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Solution

The fourth proportional to 875.97, 1,314.66 and 465.36 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.97 : 1,314.66 = 465.36 : x
  2. Step 2: Convert to fraction form
    875.97/1,314.66 = 465.36/x
  3. Step 3: Cross multiply
    875.97x = 1,314.66 × 465.36
  4. Step 4: Simplify right side
    875.97x = 611,790.18
  5. Step 5: Solve for x
    x = 611,790.18/875.97
  6. Step 6: Final answer
    x = 698.41

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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.