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Finding the Fourth Proportional to 654.46, 903.23 and 507.04

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Solution

The fourth proportional to 654.46, 903.23 and 507.04 is: 699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.46 : 903.23 = 507.04 : x
  2. Step 2: Convert to fraction form
    654.46/903.23 = 507.04/x
  3. Step 3: Cross multiply
    654.46x = 903.23 × 507.04
  4. Step 4: Simplify right side
    654.46x = 457,973.74
  5. Step 5: Solve for x
    x = 457,973.74/654.46
  6. Step 6: Final answer
    x = 699.77

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