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Finding the Fourth Proportional to 678.95, 1,019.78 and 582.23

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Solution

The fourth proportional to 678.95, 1,019.78 and 582.23 is: 874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.95 : 1,019.78 = 582.23 : x
  2. Step 2: Convert to fraction form
    678.95/1,019.78 = 582.23/x
  3. Step 3: Cross multiply
    678.95x = 1,019.78 × 582.23
  4. Step 4: Simplify right side
    678.95x = 593,746.51
  5. Step 5: Solve for x
    x = 593,746.51/678.95
  6. Step 6: Final answer
    x = 874.51

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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.