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Finding the Fourth Proportional to 675.49, 1,011.14 and 521.02

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Solution

The fourth proportional to 675.49, 1,011.14 and 521.02 is: 779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.49 : 1,011.14 = 521.02 : x
  2. Step 2: Convert to fraction form
    675.49/1,011.14 = 521.02/x
  3. Step 3: Cross multiply
    675.49x = 1,011.14 × 521.02
  4. Step 4: Simplify right side
    675.49x = 526,824.16
  5. Step 5: Solve for x
    x = 526,824.16/675.49
  6. Step 6: Final answer
    x = 779.91

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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.