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Finding the Fourth Proportional to 1,140.47, 1,574.79 and 768.68

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Solution

The fourth proportional to 1,140.47, 1,574.79 and 768.68 is: 1,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.47 : 1,574.79 = 768.68 : x
  2. Step 2: Convert to fraction form
    1,140.47/1,574.79 = 768.68/x
  3. Step 3: Cross multiply
    1,140.47x = 1,574.79 × 768.68
  4. Step 4: Simplify right side
    1,140.47x = 1,210,501.70
  5. Step 5: Solve for x
    x = 1,210,501.70/1,140.47
  6. Step 6: Final answer
    x = 1,061.41

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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.