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Finding the Fourth Proportional to 1,385.64, 2,078.06 and 654.75

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Solution

The fourth proportional to 1,385.64, 2,078.06 and 654.75 is: 981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.64 : 2,078.06 = 654.75 : x
  2. Step 2: Convert to fraction form
    1,385.64/2,078.06 = 654.75/x
  3. Step 3: Cross multiply
    1,385.64x = 2,078.06 × 654.75
  4. Step 4: Simplify right side
    1,385.64x = 1,360,606.51
  5. Step 5: Solve for x
    x = 1,360,606.51/1,385.64
  6. Step 6: Final answer
    x = 981.93

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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.