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Finding the Fourth Proportional to 645.12, 972.54 and 603.36

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Solution

The fourth proportional to 645.12, 972.54 and 603.36 is: 909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.12 : 972.54 = 603.36 : x
  2. Step 2: Convert to fraction form
    645.12/972.54 = 603.36/x
  3. Step 3: Cross multiply
    645.12x = 972.54 × 603.36
  4. Step 4: Simplify right side
    645.12x = 586,791.73
  5. Step 5: Solve for x
    x = 586,791.73/645.12
  6. Step 6: Final answer
    x = 909.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.