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Finding the Fourth Proportional to 656.72, 907.04 and 604.08

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Solution

The fourth proportional to 656.72, 907.04 and 604.08 is: 834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.72 : 907.04 = 604.08 : x
  2. Step 2: Convert to fraction form
    656.72/907.04 = 604.08/x
  3. Step 3: Cross multiply
    656.72x = 907.04 × 604.08
  4. Step 4: Simplify right side
    656.72x = 547,924.72
  5. Step 5: Solve for x
    x = 547,924.72/656.72
  6. Step 6: Final answer
    x = 834.34

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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.