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Finding the Fourth Proportional to 1,332.48, 1,997.51 and 466.32

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Solution

The fourth proportional to 1,332.48, 1,997.51 and 466.32 is: 699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.48 : 1,997.51 = 466.32 : x
  2. Step 2: Convert to fraction form
    1,332.48/1,997.51 = 466.32/x
  3. Step 3: Cross multiply
    1,332.48x = 1,997.51 × 466.32
  4. Step 4: Simplify right side
    1,332.48x = 931,478.86
  5. Step 5: Solve for x
    x = 931,478.86/1,332.48
  6. Step 6: Final answer
    x = 699.06

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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.