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Finding the Fourth Proportional to 1,477.30, 2,214.15 and 654.70

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Solution

The fourth proportional to 1,477.30, 2,214.15 and 654.70 is: 981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.30 : 2,214.15 = 654.70 : x
  2. Step 2: Convert to fraction form
    1,477.30/2,214.15 = 654.70/x
  3. Step 3: Cross multiply
    1,477.30x = 2,214.15 × 654.70
  4. Step 4: Simplify right side
    1,477.30x = 1,449,604.01
  5. Step 5: Solve for x
    x = 1,449,604.01/1,477.30
  6. Step 6: Final answer
    x = 981.25

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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.