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Finding the Fourth Proportional to 1,242.64, 1,864.01 and 376.75

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Solution

The fourth proportional to 1,242.64, 1,864.01 and 376.75 is: 565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.64 : 1,864.01 = 376.75 : x
  2. Step 2: Convert to fraction form
    1,242.64/1,864.01 = 376.75/x
  3. Step 3: Cross multiply
    1,242.64x = 1,864.01 × 376.75
  4. Step 4: Simplify right side
    1,242.64x = 702,265.77
  5. Step 5: Solve for x
    x = 702,265.77/1,242.64
  6. Step 6: Final answer
    x = 565.14

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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.