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Finding the Fourth Proportional to 669.14, 923.75 and 510.47

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Solution

The fourth proportional to 669.14, 923.75 and 510.47 is: 704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.14 : 923.75 = 510.47 : x
  2. Step 2: Convert to fraction form
    669.14/923.75 = 510.47/x
  3. Step 3: Cross multiply
    669.14x = 923.75 × 510.47
  4. Step 4: Simplify right side
    669.14x = 471,539.49
  5. Step 5: Solve for x
    x = 471,539.49/669.14
  6. Step 6: Final answer
    x = 704.70

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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.