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Finding the Fourth Proportional to 967.47, 1,335.45 and 589.36

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Solution

The fourth proportional to 967.47, 1,335.45 and 589.36 is: 813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.47 : 1,335.45 = 589.36 : x
  2. Step 2: Convert to fraction form
    967.47/1,335.45 = 589.36/x
  3. Step 3: Cross multiply
    967.47x = 1,335.45 × 589.36
  4. Step 4: Simplify right side
    967.47x = 787,060.81
  5. Step 5: Solve for x
    x = 787,060.81/967.47
  6. Step 6: Final answer
    x = 813.52

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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.