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Finding the Fourth Proportional to 1,026.48, 1,539.89 and 333.32

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Solution

The fourth proportional to 1,026.48, 1,539.89 and 333.32 is: 500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.48 : 1,539.89 = 333.32 : x
  2. Step 2: Convert to fraction form
    1,026.48/1,539.89 = 333.32/x
  3. Step 3: Cross multiply
    1,026.48x = 1,539.89 × 333.32
  4. Step 4: Simplify right side
    1,026.48x = 513,276.13
  5. Step 5: Solve for x
    x = 513,276.13/1,026.48
  6. Step 6: Final answer
    x = 500.04

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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.