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Finding the Fourth Proportional to 645.82, 968.00 and 530.78

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Solution

The fourth proportional to 645.82, 968.00 and 530.78 is: 795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.82 : 968.00 = 530.78 : x
  2. Step 2: Convert to fraction form
    645.82/968.00 = 530.78/x
  3. Step 3: Cross multiply
    645.82x = 968.00 × 530.78
  4. Step 4: Simplify right side
    645.82x = 513,787.55
  5. Step 5: Solve for x
    x = 513,787.55/645.82
  6. Step 6: Final answer
    x = 795.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.