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Finding the Fourth Proportional to 1,119.49, 1,678.15 and 425.95

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Solution

The fourth proportional to 1,119.49, 1,678.15 and 425.95 is: 638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.49 : 1,678.15 = 425.95 : x
  2. Step 2: Convert to fraction form
    1,119.49/1,678.15 = 425.95/x
  3. Step 3: Cross multiply
    1,119.49x = 1,678.15 × 425.95
  4. Step 4: Simplify right side
    1,119.49x = 714,807.99
  5. Step 5: Solve for x
    x = 714,807.99/1,119.49
  6. Step 6: Final answer
    x = 638.51

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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.