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Finding the Fourth Proportional to 1,026.47, 1,538.08 and 539.03

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Solution

The fourth proportional to 1,026.47, 1,538.08 and 539.03 is: 807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.47 : 1,538.08 = 539.03 : x
  2. Step 2: Convert to fraction form
    1,026.47/1,538.08 = 539.03/x
  3. Step 3: Cross multiply
    1,026.47x = 1,538.08 × 539.03
  4. Step 4: Simplify right side
    1,026.47x = 829,071.26
  5. Step 5: Solve for x
    x = 829,071.26/1,026.47
  6. Step 6: Final answer
    x = 807.69

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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.