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Finding the Fourth Proportional to 670.32, 922.30 and 654.78

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Solution

The fourth proportional to 670.32, 922.30 and 654.78 is: 900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.32 : 922.30 = 654.78 : x
  2. Step 2: Convert to fraction form
    670.32/922.30 = 654.78/x
  3. Step 3: Cross multiply
    670.32x = 922.30 × 654.78
  4. Step 4: Simplify right side
    670.32x = 603,905.42
  5. Step 5: Solve for x
    x = 603,905.42/670.32
  6. Step 6: Final answer
    x = 900.92

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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.