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Finding the Fourth Proportional to 1,535.75, 2,303.66 and 561.85

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Solution

The fourth proportional to 1,535.75, 2,303.66 and 561.85 is: 842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.75 : 2,303.66 = 561.85 : x
  2. Step 2: Convert to fraction form
    1,535.75/2,303.66 = 561.85/x
  3. Step 3: Cross multiply
    1,535.75x = 2,303.66 × 561.85
  4. Step 4: Simplify right side
    1,535.75x = 1,294,302.80
  5. Step 5: Solve for x
    x = 1,294,302.80/1,535.75
  6. Step 6: Final answer
    x = 842.78

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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.