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Finding the Fourth Proportional to 1,026.42, 1,539.64 and 296

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Solution

The fourth proportional to 1,026.42, 1,539.64 and 296 is: 444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.42 : 1,539.64 = 296 : x
  2. Step 2: Convert to fraction form
    1,026.42/1,539.64 = 296/x
  3. Step 3: Cross multiply
    1,026.42x = 1,539.64 × 296
  4. Step 4: Simplify right side
    1,026.42x = 455,733.44
  5. Step 5: Solve for x
    x = 455,733.44/1,026.42
  6. Step 6: Final answer
    x = 444.00

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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.