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Finding the Fourth Proportional to 1,140.53, 1,714 and 678.39

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Solution

The fourth proportional to 1,140.53, 1,714 and 678.39 is: 1,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.53 : 1,714 = 678.39 : x
  2. Step 2: Convert to fraction form
    1,140.53/1,714 = 678.39/x
  3. Step 3: Cross multiply
    1,140.53x = 1,714 × 678.39
  4. Step 4: Simplify right side
    1,140.53x = 1,162,760.46
  5. Step 5: Solve for x
    x = 1,162,760.46/1,140.53
  6. Step 6: Final answer
    x = 1,019.49

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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.