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Finding the Fourth Proportional to 1,384.56, 2,077.15 and 604.69

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Solution

The fourth proportional to 1,384.56, 2,077.15 and 604.69 is: 907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.56 : 2,077.15 = 604.69 : x
  2. Step 2: Convert to fraction form
    1,384.56/2,077.15 = 604.69/x
  3. Step 3: Cross multiply
    1,384.56x = 2,077.15 × 604.69
  4. Step 4: Simplify right side
    1,384.56x = 1,256,031.83
  5. Step 5: Solve for x
    x = 1,256,031.83/1,384.56
  6. Step 6: Final answer
    x = 907.17

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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.