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Finding the Fourth Proportional to 1,242.83, 1,864.50 and 377.07

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Solution

The fourth proportional to 1,242.83, 1,864.50 and 377.07 is: 565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.83 : 1,864.50 = 377.07 : x
  2. Step 2: Convert to fraction form
    1,242.83/1,864.50 = 377.07/x
  3. Step 3: Cross multiply
    1,242.83x = 1,864.50 × 377.07
  4. Step 4: Simplify right side
    1,242.83x = 703,047.02
  5. Step 5: Solve for x
    x = 703,047.02/1,242.83
  6. Step 6: Final answer
    x = 565.68

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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.