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Finding the Fourth Proportional to 743.64, 1,110.65 and 589.74

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Solution

The fourth proportional to 743.64, 1,110.65 and 589.74 is: 880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.64 : 1,110.65 = 589.74 : x
  2. Step 2: Convert to fraction form
    743.64/1,110.65 = 589.74/x
  3. Step 3: Cross multiply
    743.64x = 1,110.65 × 589.74
  4. Step 4: Simplify right side
    743.64x = 654,994.73
  5. Step 5: Solve for x
    x = 654,994.73/743.64
  6. Step 6: Final answer
    x = 880.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.