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Finding the Fourth Proportional to 1,774.64, 2,662.34 and 604.76

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Solution

The fourth proportional to 1,774.64, 2,662.34 and 604.76 is: 907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.64 : 2,662.34 = 604.76 : x
  2. Step 2: Convert to fraction form
    1,774.64/2,662.34 = 604.76/x
  3. Step 3: Cross multiply
    1,774.64x = 2,662.34 × 604.76
  4. Step 4: Simplify right side
    1,774.64x = 1,610,060.40
  5. Step 5: Solve for x
    x = 1,610,060.40/1,774.64
  6. Step 6: Final answer
    x = 907.26

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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.