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Finding the Fourth Proportional to 675.59, 932.58 and 509.84

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Solution

The fourth proportional to 675.59, 932.58 and 509.84 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.59 : 932.58 = 509.84 : x
  2. Step 2: Convert to fraction form
    675.59/932.58 = 509.84/x
  3. Step 3: Cross multiply
    675.59x = 932.58 × 509.84
  4. Step 4: Simplify right side
    675.59x = 475,465.42
  5. Step 5: Solve for x
    x = 475,465.42/675.59
  6. Step 6: Final answer
    x = 703.78

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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.