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Finding the Fourth Proportional to 1,332.06, 1,996.84 and 509.77

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Solution

The fourth proportional to 1,332.06, 1,996.84 and 509.77 is: 764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.06 : 1,996.84 = 509.77 : x
  2. Step 2: Convert to fraction form
    1,332.06/1,996.84 = 509.77/x
  3. Step 3: Cross multiply
    1,332.06x = 1,996.84 × 509.77
  4. Step 4: Simplify right side
    1,332.06x = 1,017,929.13
  5. Step 5: Solve for x
    x = 1,017,929.13/1,332.06
  6. Step 6: Final answer
    x = 764.18

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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.