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Finding the Fourth Proportional to 1,235.48, 1,851.44 and 618.32

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Solution

The fourth proportional to 1,235.48, 1,851.44 and 618.32 is: 926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.48 : 1,851.44 = 618.32 : x
  2. Step 2: Convert to fraction form
    1,235.48/1,851.44 = 618.32/x
  3. Step 3: Cross multiply
    1,235.48x = 1,851.44 × 618.32
  4. Step 4: Simplify right side
    1,235.48x = 1,144,782.38
  5. Step 5: Solve for x
    x = 1,144,782.38/1,235.48
  6. Step 6: Final answer
    x = 926.59

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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.