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Finding the Fourth Proportional to 675.94, 1,013.66 and 237.06

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Solution

The fourth proportional to 675.94, 1,013.66 and 237.06 is: 355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.94 : 1,013.66 = 237.06 : x
  2. Step 2: Convert to fraction form
    675.94/1,013.66 = 237.06/x
  3. Step 3: Cross multiply
    675.94x = 1,013.66 × 237.06
  4. Step 4: Simplify right side
    675.94x = 240,298.24
  5. Step 5: Solve for x
    x = 240,298.24/675.94
  6. Step 6: Final answer
    x = 355.50

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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.