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Finding the Fourth Proportional to 612.81, 920.14 and 586.89

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Solution

The fourth proportional to 612.81, 920.14 and 586.89 is: 881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.81 : 920.14 = 586.89 : x
  2. Step 2: Convert to fraction form
    612.81/920.14 = 586.89/x
  3. Step 3: Cross multiply
    612.81x = 920.14 × 586.89
  4. Step 4: Simplify right side
    612.81x = 540,019.50
  5. Step 5: Solve for x
    x = 540,019.50/612.81
  6. Step 6: Final answer
    x = 881.22

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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.