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Finding the Fourth Proportional to 1,535.65, 2,303.48 and 561.36

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Solution

The fourth proportional to 1,535.65, 2,303.48 and 561.36 is: 842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.65 : 2,303.48 = 561.36 : x
  2. Step 2: Convert to fraction form
    1,535.65/2,303.48 = 561.36/x
  3. Step 3: Cross multiply
    1,535.65x = 2,303.48 × 561.36
  4. Step 4: Simplify right side
    1,535.65x = 1,293,067.21
  5. Step 5: Solve for x
    x = 1,293,067.21/1,535.65
  6. Step 6: Final answer
    x = 842.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.