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Finding the Fourth Proportional to 798.92, 1,102.06 and 589.13

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Solution

The fourth proportional to 798.92, 1,102.06 and 589.13 is: 812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.92 : 1,102.06 = 589.13 : x
  2. Step 2: Convert to fraction form
    798.92/1,102.06 = 589.13/x
  3. Step 3: Cross multiply
    798.92x = 1,102.06 × 589.13
  4. Step 4: Simplify right side
    798.92x = 649,256.61
  5. Step 5: Solve for x
    x = 649,256.61/798.92
  6. Step 6: Final answer
    x = 812.67

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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.