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Finding the Fourth Proportional to 675.34, 929.75 and 588.02

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Solution

The fourth proportional to 675.34, 929.75 and 588.02 is: 809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.34 : 929.75 = 588.02 : x
  2. Step 2: Convert to fraction form
    675.34/929.75 = 588.02/x
  3. Step 3: Cross multiply
    675.34x = 929.75 × 588.02
  4. Step 4: Simplify right side
    675.34x = 546,704.01
  5. Step 5: Solve for x
    x = 546,704.01/675.34
  6. Step 6: Final answer
    x = 809.53

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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.