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Finding the Fourth Proportional to 652.48, 977.76 and 604.48

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Solution

The fourth proportional to 652.48, 977.76 and 604.48 is: 905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.48 : 977.76 = 604.48 : x
  2. Step 2: Convert to fraction form
    652.48/977.76 = 604.48/x
  3. Step 3: Cross multiply
    652.48x = 977.76 × 604.48
  4. Step 4: Simplify right side
    652.48x = 591,036.36
  5. Step 5: Solve for x
    x = 591,036.36/652.48
  6. Step 6: Final answer
    x = 905.83

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Why These Related Problems?

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