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Finding the Fourth Proportional to 1,689.27, 2,533.91 and 456.71

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Solution

The fourth proportional to 1,689.27, 2,533.91 and 456.71 is: 685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.27 : 2,533.91 = 456.71 : x
  2. Step 2: Convert to fraction form
    1,689.27/2,533.91 = 456.71/x
  3. Step 3: Cross multiply
    1,689.27x = 2,533.91 × 456.71
  4. Step 4: Simplify right side
    1,689.27x = 1,157,247.08
  5. Step 5: Solve for x
    x = 1,157,247.08/1,689.27
  6. Step 6: Final answer
    x = 685.06

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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.