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Finding the Fourth Proportional to 624.51, 867.78 and 617.76

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Solution

The fourth proportional to 624.51, 867.78 and 617.76 is: 858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.51 : 867.78 = 617.76 : x
  2. Step 2: Convert to fraction form
    624.51/867.78 = 617.76/x
  3. Step 3: Cross multiply
    624.51x = 867.78 × 617.76
  4. Step 4: Simplify right side
    624.51x = 536,079.77
  5. Step 5: Solve for x
    x = 536,079.77/624.51
  6. Step 6: Final answer
    x = 858.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.