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Finding the Fourth Proportional to 1,275.74, 1,913.38 and 351.07

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Solution

The fourth proportional to 1,275.74, 1,913.38 and 351.07 is: 526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.74 : 1,913.38 = 351.07 : x
  2. Step 2: Convert to fraction form
    1,275.74/1,913.38 = 351.07/x
  3. Step 3: Cross multiply
    1,275.74x = 1,913.38 × 351.07
  4. Step 4: Simplify right side
    1,275.74x = 671,724.66
  5. Step 5: Solve for x
    x = 671,724.66/1,275.74
  6. Step 6: Final answer
    x = 526.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.