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Finding the Fourth Proportional to 1,239.77, 1,860.32 and 623.48

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Solution

The fourth proportional to 1,239.77, 1,860.32 and 623.48 is: 935.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.77 : 1,860.32 = 623.48 : x
  2. Step 2: Convert to fraction form
    1,239.77/1,860.32 = 623.48/x
  3. Step 3: Cross multiply
    1,239.77x = 1,860.32 × 623.48
  4. Step 4: Simplify right side
    1,239.77x = 1,159,864.57
  5. Step 5: Solve for x
    x = 1,159,864.57/1,239.77
  6. Step 6: Final answer
    x = 935.55

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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.