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Finding the Fourth Proportional to 1,000.51, 1,378.29 and 831.76

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Solution

The fourth proportional to 1,000.51, 1,378.29 and 831.76 is: 1,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.51 : 1,378.29 = 831.76 : x
  2. Step 2: Convert to fraction form
    1,000.51/1,378.29 = 831.76/x
  3. Step 3: Cross multiply
    1,000.51x = 1,378.29 × 831.76
  4. Step 4: Simplify right side
    1,000.51x = 1,146,406.49
  5. Step 5: Solve for x
    x = 1,146,406.49/1,000.51
  6. Step 6: Final answer
    x = 1,145.82

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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.