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Finding the Fourth Proportional to 1,487.90, 2,053.15 and 824.58

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Solution

The fourth proportional to 1,487.90, 2,053.15 and 824.58 is: 1,137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.90 : 2,053.15 = 824.58 : x
  2. Step 2: Convert to fraction form
    1,487.90/2,053.15 = 824.58/x
  3. Step 3: Cross multiply
    1,487.90x = 2,053.15 × 824.58
  4. Step 4: Simplify right side
    1,487.90x = 1,692,984.37
  5. Step 5: Solve for x
    x = 1,692,984.37/1,487.90
  6. Step 6: Final answer
    x = 1,137.83

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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.