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Finding the Fourth Proportional to 743.65, 1,114.56 and 652.52

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Solution

The fourth proportional to 743.65, 1,114.56 and 652.52 is: 977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.65 : 1,114.56 = 652.52 : x
  2. Step 2: Convert to fraction form
    743.65/1,114.56 = 652.52/x
  3. Step 3: Cross multiply
    743.65x = 1,114.56 × 652.52
  4. Step 4: Simplify right side
    743.65x = 727,275.48
  5. Step 5: Solve for x
    x = 727,275.48/743.65
  6. Step 6: Final answer
    x = 977.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.