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Finding the Fourth Proportional to 867.84, 1,197.95 and 589.52

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Solution

The fourth proportional to 867.84, 1,197.95 and 589.52 is: 813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.84 : 1,197.95 = 589.52 : x
  2. Step 2: Convert to fraction form
    867.84/1,197.95 = 589.52/x
  3. Step 3: Cross multiply
    867.84x = 1,197.95 × 589.52
  4. Step 4: Simplify right side
    867.84x = 706,206.55
  5. Step 5: Solve for x
    x = 706,206.55/867.84
  6. Step 6: Final answer
    x = 813.75

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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.