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Finding the Fourth Proportional to 1,078.14, 1,612.95 and 1,070.25

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Solution

The fourth proportional to 1,078.14, 1,612.95 and 1,070.25 is: 1,601.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.14 : 1,612.95 = 1,070.25 : x
  2. Step 2: Convert to fraction form
    1,078.14/1,612.95 = 1,070.25/x
  3. Step 3: Cross multiply
    1,078.14x = 1,612.95 × 1,070.25
  4. Step 4: Simplify right side
    1,078.14x = 1,726,259.74
  5. Step 5: Solve for x
    x = 1,726,259.74/1,078.14
  6. Step 6: Final answer
    x = 1,601.15

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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.