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Finding the Fourth Proportional to 669.90, 924.77 and 504.17

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Solution

The fourth proportional to 669.90, 924.77 and 504.17 is: 695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.90 : 924.77 = 504.17 : x
  2. Step 2: Convert to fraction form
    669.90/924.77 = 504.17/x
  3. Step 3: Cross multiply
    669.90x = 924.77 × 504.17
  4. Step 4: Simplify right side
    669.90x = 466,244.86
  5. Step 5: Solve for x
    x = 466,244.86/669.90
  6. Step 6: Final answer
    x = 695.99

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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.