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Finding the Fourth Proportional to 987.57, 1,362.32 and 589.12

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Solution

The fourth proportional to 987.57, 1,362.32 and 589.12 is: 812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.57 : 1,362.32 = 589.12 : x
  2. Step 2: Convert to fraction form
    987.57/1,362.32 = 589.12/x
  3. Step 3: Cross multiply
    987.57x = 1,362.32 × 589.12
  4. Step 4: Simplify right side
    987.57x = 802,573.48
  5. Step 5: Solve for x
    x = 802,573.48/987.57
  6. Step 6: Final answer
    x = 812.68

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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.