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Finding the Fourth Proportional to 1,203.04, 1,803.26 and 585.38

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Solution

The fourth proportional to 1,203.04, 1,803.26 and 585.38 is: 877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.04 : 1,803.26 = 585.38 : x
  2. Step 2: Convert to fraction form
    1,203.04/1,803.26 = 585.38/x
  3. Step 3: Cross multiply
    1,203.04x = 1,803.26 × 585.38
  4. Step 4: Simplify right side
    1,203.04x = 1,055,592.34
  5. Step 5: Solve for x
    x = 1,055,592.34/1,203.04
  6. Step 6: Final answer
    x = 877.44

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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.