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Finding the Fourth Proportional to 921.51, 1,271.34 and 589.89

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Solution

The fourth proportional to 921.51, 1,271.34 and 589.89 is: 813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.51 : 1,271.34 = 589.89 : x
  2. Step 2: Convert to fraction form
    921.51/1,271.34 = 589.89/x
  3. Step 3: Cross multiply
    921.51x = 1,271.34 × 589.89
  4. Step 4: Simplify right side
    921.51x = 749,945.99
  5. Step 5: Solve for x
    x = 749,945.99/921.51
  6. Step 6: Final answer
    x = 813.82

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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.