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Finding the Fourth Proportional to 780.28, 1,075.55 and 614.27

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Solution

The fourth proportional to 780.28, 1,075.55 and 614.27 is: 846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.28 : 1,075.55 = 614.27 : x
  2. Step 2: Convert to fraction form
    780.28/1,075.55 = 614.27/x
  3. Step 3: Cross multiply
    780.28x = 1,075.55 × 614.27
  4. Step 4: Simplify right side
    780.28x = 660,677.72
  5. Step 5: Solve for x
    x = 660,677.72/780.28
  6. Step 6: Final answer
    x = 846.72

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Why These Related Problems?

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