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Finding the Fourth Proportional to 921.34, 1,271.40 and 589.85

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Solution

The fourth proportional to 921.34, 1,271.40 and 589.85 is: 813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.34 : 1,271.40 = 589.85 : x
  2. Step 2: Convert to fraction form
    921.34/1,271.40 = 589.85/x
  3. Step 3: Cross multiply
    921.34x = 1,271.40 × 589.85
  4. Step 4: Simplify right side
    921.34x = 749,931.49
  5. Step 5: Solve for x
    x = 749,931.49/921.34
  6. Step 6: Final answer
    x = 813.96

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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.