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Finding the Fourth Proportional to 675.02, 928.46 and 598.88

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Solution

The fourth proportional to 675.02, 928.46 and 598.88 is: 823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.02 : 928.46 = 598.88 : x
  2. Step 2: Convert to fraction form
    675.02/928.46 = 598.88/x
  3. Step 3: Cross multiply
    675.02x = 928.46 × 598.88
  4. Step 4: Simplify right side
    675.02x = 556,036.12
  5. Step 5: Solve for x
    x = 556,036.12/675.02
  6. Step 6: Final answer
    x = 823.73

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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.