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Finding the Fourth Proportional to 1,535.74, 2,303.30 and 561.61

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Solution

The fourth proportional to 1,535.74, 2,303.30 and 561.61 is: 842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.74 : 2,303.30 = 561.61 : x
  2. Step 2: Convert to fraction form
    1,535.74/2,303.30 = 561.61/x
  3. Step 3: Cross multiply
    1,535.74x = 2,303.30 × 561.61
  4. Step 4: Simplify right side
    1,535.74x = 1,293,556.31
  5. Step 5: Solve for x
    x = 1,293,556.31/1,535.74
  6. Step 6: Final answer
    x = 842.30

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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.