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Finding the Fourth Proportional to 934.68, 1,400.10 and 760.56

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Solution

The fourth proportional to 934.68, 1,400.10 and 760.56 is: 1,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.68 : 1,400.10 = 760.56 : x
  2. Step 2: Convert to fraction form
    934.68/1,400.10 = 760.56/x
  3. Step 3: Cross multiply
    934.68x = 1,400.10 × 760.56
  4. Step 4: Simplify right side
    934.68x = 1,064,860.06
  5. Step 5: Solve for x
    x = 1,064,860.06/934.68
  6. Step 6: Final answer
    x = 1,139.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.