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Finding the Fourth Proportional to 1,076.04, 1,484.84 and 604

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Solution

The fourth proportional to 1,076.04, 1,484.84 and 604 is: 833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.04 : 1,484.84 = 604 : x
  2. Step 2: Convert to fraction form
    1,076.04/1,484.84 = 604/x
  3. Step 3: Cross multiply
    1,076.04x = 1,484.84 × 604
  4. Step 4: Simplify right side
    1,076.04x = 896,843.36
  5. Step 5: Solve for x
    x = 896,843.36/1,076.04
  6. Step 6: Final answer
    x = 833.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.