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Finding the Fourth Proportional to 669.42, 924.54 and 614.07

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Solution

The fourth proportional to 669.42, 924.54 and 614.07 is: 848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.42 : 924.54 = 614.07 : x
  2. Step 2: Convert to fraction form
    669.42/924.54 = 614.07/x
  3. Step 3: Cross multiply
    669.42x = 924.54 × 614.07
  4. Step 4: Simplify right side
    669.42x = 567,732.28
  5. Step 5: Solve for x
    x = 567,732.28/669.42
  6. Step 6: Final answer
    x = 848.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.