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Finding the Fourth Proportional to 1,487.94, 2,053.45 and 824.99

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Solution

The fourth proportional to 1,487.94, 2,053.45 and 824.99 is: 1,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.94 : 2,053.45 = 824.99 : x
  2. Step 2: Convert to fraction form
    1,487.94/2,053.45 = 824.99/x
  3. Step 3: Cross multiply
    1,487.94x = 2,053.45 × 824.99
  4. Step 4: Simplify right side
    1,487.94x = 1,694,066.48
  5. Step 5: Solve for x
    x = 1,694,066.48/1,487.94
  6. Step 6: Final answer
    x = 1,138.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.