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Finding the Fourth Proportional to 1,026.04, 1,538.67 and 367.74

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Solution

The fourth proportional to 1,026.04, 1,538.67 and 367.74 is: 551.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.04 : 1,538.67 = 367.74 : x
  2. Step 2: Convert to fraction form
    1,026.04/1,538.67 = 367.74/x
  3. Step 3: Cross multiply
    1,026.04x = 1,538.67 × 367.74
  4. Step 4: Simplify right side
    1,026.04x = 565,822.81
  5. Step 5: Solve for x
    x = 565,822.81/1,026.04
  6. Step 6: Final answer
    x = 551.46

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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.