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Finding the Fourth Proportional to 1,026.06, 1,538.34 and 376.68

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Solution

The fourth proportional to 1,026.06, 1,538.34 and 376.68 is: 564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.06 : 1,538.34 = 376.68 : x
  2. Step 2: Convert to fraction form
    1,026.06/1,538.34 = 376.68/x
  3. Step 3: Cross multiply
    1,026.06x = 1,538.34 × 376.68
  4. Step 4: Simplify right side
    1,026.06x = 579,461.91
  5. Step 5: Solve for x
    x = 579,461.91/1,026.06
  6. Step 6: Final answer
    x = 564.74

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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.