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Finding the Fourth Proportional to 1,225.06, 1,837.48 and 347.52

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Solution

The fourth proportional to 1,225.06, 1,837.48 and 347.52 is: 521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.06 : 1,837.48 = 347.52 : x
  2. Step 2: Convert to fraction form
    1,225.06/1,837.48 = 347.52/x
  3. Step 3: Cross multiply
    1,225.06x = 1,837.48 × 347.52
  4. Step 4: Simplify right side
    1,225.06x = 638,560.18
  5. Step 5: Solve for x
    x = 638,560.18/1,225.06
  6. Step 6: Final answer
    x = 521.25

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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.