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Finding the Fourth Proportional to 691.83, 1,036.49 and 589.23

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Solution

The fourth proportional to 691.83, 1,036.49 and 589.23 is: 882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.83 : 1,036.49 = 589.23 : x
  2. Step 2: Convert to fraction form
    691.83/1,036.49 = 589.23/x
  3. Step 3: Cross multiply
    691.83x = 1,036.49 × 589.23
  4. Step 4: Simplify right side
    691.83x = 610,728.06
  5. Step 5: Solve for x
    x = 610,728.06/691.83
  6. Step 6: Final answer
    x = 882.77

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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.