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Finding the Fourth Proportional to 1,026.16, 1,539.24 and 256.66

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Solution

The fourth proportional to 1,026.16, 1,539.24 and 256.66 is: 384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.16 : 1,539.24 = 256.66 : x
  2. Step 2: Convert to fraction form
    1,026.16/1,539.24 = 256.66/x
  3. Step 3: Cross multiply
    1,026.16x = 1,539.24 × 256.66
  4. Step 4: Simplify right side
    1,026.16x = 395,061.34
  5. Step 5: Solve for x
    x = 395,061.34/1,026.16
  6. Step 6: Final answer
    x = 384.99

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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.