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Finding the Fourth Proportional to 1,026.14, 1,539.23 and 295.74

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Solution

The fourth proportional to 1,026.14, 1,539.23 and 295.74 is: 443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.14 : 1,539.23 = 295.74 : x
  2. Step 2: Convert to fraction form
    1,026.14/1,539.23 = 295.74/x
  3. Step 3: Cross multiply
    1,026.14x = 1,539.23 × 295.74
  4. Step 4: Simplify right side
    1,026.14x = 455,210.40
  5. Step 5: Solve for x
    x = 455,210.40/1,026.14
  6. Step 6: Final answer
    x = 443.62

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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.