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Finding the Fourth Proportional to 652.16, 972.81 and 589.88

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Solution

The fourth proportional to 652.16, 972.81 and 589.88 is: 879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.16 : 972.81 = 589.88 : x
  2. Step 2: Convert to fraction form
    652.16/972.81 = 589.88/x
  3. Step 3: Cross multiply
    652.16x = 972.81 × 589.88
  4. Step 4: Simplify right side
    652.16x = 573,843.59
  5. Step 5: Solve for x
    x = 573,843.59/652.16
  6. Step 6: Final answer
    x = 879.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.