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Finding the Fourth Proportional to 675.52, 931.72 and 509.44

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Solution

The fourth proportional to 675.52, 931.72 and 509.44 is: 702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.52 : 931.72 = 509.44 : x
  2. Step 2: Convert to fraction form
    675.52/931.72 = 509.44/x
  3. Step 3: Cross multiply
    675.52x = 931.72 × 509.44
  4. Step 4: Simplify right side
    675.52x = 474,655.44
  5. Step 5: Solve for x
    x = 474,655.44/675.52
  6. Step 6: Final answer
    x = 702.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.