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Finding the Fourth Proportional to 1,332.61, 1,999.05 and 511.58

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Solution

The fourth proportional to 1,332.61, 1,999.05 and 511.58 is: 767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.61 : 1,999.05 = 511.58 : x
  2. Step 2: Convert to fraction form
    1,332.61/1,999.05 = 511.58/x
  3. Step 3: Cross multiply
    1,332.61x = 1,999.05 × 511.58
  4. Step 4: Simplify right side
    1,332.61x = 1,022,674.00
  5. Step 5: Solve for x
    x = 1,022,674.00/1,332.61
  6. Step 6: Final answer
    x = 767.42

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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.