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Finding the Fourth Proportional to 921.15, 1,271.13 and 589.67

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Solution

The fourth proportional to 921.15, 1,271.13 and 589.67 is: 813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.15 : 1,271.13 = 589.67 : x
  2. Step 2: Convert to fraction form
    921.15/1,271.13 = 589.67/x
  3. Step 3: Cross multiply
    921.15x = 1,271.13 × 589.67
  4. Step 4: Simplify right side
    921.15x = 749,540.87
  5. Step 5: Solve for x
    x = 749,540.87/921.15
  6. Step 6: Final answer
    x = 813.70

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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.