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Finding the Fourth Proportional to 1,225.02, 1,837.33 and 347.64

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Solution

The fourth proportional to 1,225.02, 1,837.33 and 347.64 is: 521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.02 : 1,837.33 = 347.64 : x
  2. Step 2: Convert to fraction form
    1,225.02/1,837.33 = 347.64/x
  3. Step 3: Cross multiply
    1,225.02x = 1,837.33 × 347.64
  4. Step 4: Simplify right side
    1,225.02x = 638,733.93
  5. Step 5: Solve for x
    x = 638,733.93/1,225.02
  6. Step 6: Final answer
    x = 521.41

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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.