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Finding the Fourth Proportional to 1,061.78, 1,465.26 and 589.66

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Solution

The fourth proportional to 1,061.78, 1,465.26 and 589.66 is: 813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.78 : 1,465.26 = 589.66 : x
  2. Step 2: Convert to fraction form
    1,061.78/1,465.26 = 589.66/x
  3. Step 3: Cross multiply
    1,061.78x = 1,465.26 × 589.66
  4. Step 4: Simplify right side
    1,061.78x = 864,005.21
  5. Step 5: Solve for x
    x = 864,005.21/1,061.78
  6. Step 6: Final answer
    x = 813.73

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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.