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Finding the Fourth Proportional to 1,534.04, 2,300.82 and 559.91

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Solution

The fourth proportional to 1,534.04, 2,300.82 and 559.91 is: 839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.04 : 2,300.82 = 559.91 : x
  2. Step 2: Convert to fraction form
    1,534.04/2,300.82 = 559.91/x
  3. Step 3: Cross multiply
    1,534.04x = 2,300.82 × 559.91
  4. Step 4: Simplify right side
    1,534.04x = 1,288,240.62
  5. Step 5: Solve for x
    x = 1,288,240.62/1,534.04
  6. Step 6: Final answer
    x = 839.77

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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.