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Finding the Fourth Proportional to 1,026.78, 1,530.93 and 1,008.32

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Solution

The fourth proportional to 1,026.78, 1,530.93 and 1,008.32 is: 1,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.78 : 1,530.93 = 1,008.32 : x
  2. Step 2: Convert to fraction form
    1,026.78/1,530.93 = 1,008.32/x
  3. Step 3: Cross multiply
    1,026.78x = 1,530.93 × 1,008.32
  4. Step 4: Simplify right side
    1,026.78x = 1,543,659.68
  5. Step 5: Solve for x
    x = 1,543,659.68/1,026.78
  6. Step 6: Final answer
    x = 1,503.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.