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Finding the Fourth Proportional to 624.84, 857.67 and 598.11

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Solution

The fourth proportional to 624.84, 857.67 and 598.11 is: 820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.84 : 857.67 = 598.11 : x
  2. Step 2: Convert to fraction form
    624.84/857.67 = 598.11/x
  3. Step 3: Cross multiply
    624.84x = 857.67 × 598.11
  4. Step 4: Simplify right side
    624.84x = 512,981.00
  5. Step 5: Solve for x
    x = 512,981.00/624.84
  6. Step 6: Final answer
    x = 820.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.