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Finding the Fourth Proportional to 1,233.70, 1,848.93 and 585.70

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Solution

The fourth proportional to 1,233.70, 1,848.93 and 585.70 is: 877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.70 : 1,848.93 = 585.70 : x
  2. Step 2: Convert to fraction form
    1,233.70/1,848.93 = 585.70/x
  3. Step 3: Cross multiply
    1,233.70x = 1,848.93 × 585.70
  4. Step 4: Simplify right side
    1,233.70x = 1,082,918.30
  5. Step 5: Solve for x
    x = 1,082,918.30/1,233.70
  6. Step 6: Final answer
    x = 877.78

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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.