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Finding the Fourth Proportional to 1,135.63, 1,703.45 and 519.18

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Solution

The fourth proportional to 1,135.63, 1,703.45 and 519.18 is: 778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.63 : 1,703.45 = 519.18 : x
  2. Step 2: Convert to fraction form
    1,135.63/1,703.45 = 519.18/x
  3. Step 3: Cross multiply
    1,135.63x = 1,703.45 × 519.18
  4. Step 4: Simplify right side
    1,135.63x = 884,392.08
  5. Step 5: Solve for x
    x = 884,392.08/1,135.63
  6. Step 6: Final answer
    x = 778.77

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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.