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Finding the Fourth Proportional to 1,553.04, 2,328.90 and 578.46

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Solution

The fourth proportional to 1,553.04, 2,328.90 and 578.46 is: 867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.04 : 2,328.90 = 578.46 : x
  2. Step 2: Convert to fraction form
    1,553.04/2,328.90 = 578.46/x
  3. Step 3: Cross multiply
    1,553.04x = 2,328.90 × 578.46
  4. Step 4: Simplify right side
    1,553.04x = 1,347,175.49
  5. Step 5: Solve for x
    x = 1,347,175.49/1,553.04
  6. Step 6: Final answer
    x = 867.44

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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.