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Finding the Fourth Proportional to 1,385.83, 2,079.80 and 509.16

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Solution

The fourth proportional to 1,385.83, 2,079.80 and 509.16 is: 764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.83 : 2,079.80 = 509.16 : x
  2. Step 2: Convert to fraction form
    1,385.83/2,079.80 = 509.16/x
  3. Step 3: Cross multiply
    1,385.83x = 2,079.80 × 509.16
  4. Step 4: Simplify right side
    1,385.83x = 1,058,950.33
  5. Step 5: Solve for x
    x = 1,058,950.33/1,385.83
  6. Step 6: Final answer
    x = 764.13

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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.