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Finding the Fourth Proportional to 1,024.06, 1,536.08 and 538.06

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Solution

The fourth proportional to 1,024.06, 1,536.08 and 538.06 is: 807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.06 : 1,536.08 = 538.06 : x
  2. Step 2: Convert to fraction form
    1,024.06/1,536.08 = 538.06/x
  3. Step 3: Cross multiply
    1,024.06x = 1,536.08 × 538.06
  4. Step 4: Simplify right side
    1,024.06x = 826,503.20
  5. Step 5: Solve for x
    x = 826,503.20/1,024.06
  6. Step 6: Final answer
    x = 807.08

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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.