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Finding the Fourth Proportional to 1,026.27, 1,536.93 and 592.11

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Solution

The fourth proportional to 1,026.27, 1,536.93 and 592.11 is: 886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.27 : 1,536.93 = 592.11 : x
  2. Step 2: Convert to fraction form
    1,026.27/1,536.93 = 592.11/x
  3. Step 3: Cross multiply
    1,026.27x = 1,536.93 × 592.11
  4. Step 4: Simplify right side
    1,026.27x = 910,031.62
  5. Step 5: Solve for x
    x = 910,031.62/1,026.27
  6. Step 6: Final answer
    x = 886.74

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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.