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Finding the Fourth Proportional to 1,735.74, 2,602.94 and 502.74

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Solution

The fourth proportional to 1,735.74, 2,602.94 and 502.74 is: 753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.74 : 2,602.94 = 502.74 : x
  2. Step 2: Convert to fraction form
    1,735.74/2,602.94 = 502.74/x
  3. Step 3: Cross multiply
    1,735.74x = 2,602.94 × 502.74
  4. Step 4: Simplify right side
    1,735.74x = 1,308,599.54
  5. Step 5: Solve for x
    x = 1,308,599.54/1,735.74
  6. Step 6: Final answer
    x = 753.91

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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.