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Finding the Fourth Proportional to 622.18, 931.93 and 585.83

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Solution

The fourth proportional to 622.18, 931.93 and 585.83 is: 877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.18 : 931.93 = 585.83 : x
  2. Step 2: Convert to fraction form
    622.18/931.93 = 585.83/x
  3. Step 3: Cross multiply
    622.18x = 931.93 × 585.83
  4. Step 4: Simplify right side
    622.18x = 545,952.55
  5. Step 5: Solve for x
    x = 545,952.55/622.18
  6. Step 6: Final answer
    x = 877.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.