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Finding the Fourth Proportional to 667.84, 921.57 and 510.58

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Solution

The fourth proportional to 667.84, 921.57 and 510.58 is: 704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.84 : 921.57 = 510.58 : x
  2. Step 2: Convert to fraction form
    667.84/921.57 = 510.58/x
  3. Step 3: Cross multiply
    667.84x = 921.57 × 510.58
  4. Step 4: Simplify right side
    667.84x = 470,535.21
  5. Step 5: Solve for x
    x = 470,535.21/667.84
  6. Step 6: Final answer
    x = 704.56

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1.5x scale

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.