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Finding the Fourth Proportional to 780.15, 1,076.25 and 614.10

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Solution

The fourth proportional to 780.15, 1,076.25 and 614.10 is: 847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.15 : 1,076.25 = 614.10 : x
  2. Step 2: Convert to fraction form
    780.15/1,076.25 = 614.10/x
  3. Step 3: Cross multiply
    780.15x = 1,076.25 × 614.10
  4. Step 4: Simplify right side
    780.15x = 660,925.13
  5. Step 5: Solve for x
    x = 660,925.13/780.15
  6. Step 6: Final answer
    x = 847.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.