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Finding the Fourth Proportional to 1,332.54, 1,999.63 and 510.90

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Solution

The fourth proportional to 1,332.54, 1,999.63 and 510.90 is: 766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.54 : 1,999.63 = 510.90 : x
  2. Step 2: Convert to fraction form
    1,332.54/1,999.63 = 510.90/x
  3. Step 3: Cross multiply
    1,332.54x = 1,999.63 × 510.90
  4. Step 4: Simplify right side
    1,332.54x = 1,021,610.97
  5. Step 5: Solve for x
    x = 1,021,610.97/1,332.54
  6. Step 6: Final answer
    x = 766.66

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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.