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Finding the Fourth Proportional to 1,215.64, 1,823.26 and 349.75

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Solution

The fourth proportional to 1,215.64, 1,823.26 and 349.75 is: 524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.64 : 1,823.26 = 349.75 : x
  2. Step 2: Convert to fraction form
    1,215.64/1,823.26 = 349.75/x
  3. Step 3: Cross multiply
    1,215.64x = 1,823.26 × 349.75
  4. Step 4: Simplify right side
    1,215.64x = 637,685.19
  5. Step 5: Solve for x
    x = 637,685.19/1,215.64
  6. Step 6: Final answer
    x = 524.57

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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.