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Finding the Fourth Proportional to 652.19, 894.65 and 616.88

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Solution

The fourth proportional to 652.19, 894.65 and 616.88 is: 846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.19 : 894.65 = 616.88 : x
  2. Step 2: Convert to fraction form
    652.19/894.65 = 616.88/x
  3. Step 3: Cross multiply
    652.19x = 894.65 × 616.88
  4. Step 4: Simplify right side
    652.19x = 551,887.22
  5. Step 5: Solve for x
    x = 551,887.22/652.19
  6. Step 6: Final answer
    x = 846.21

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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.