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Finding the Fourth Proportional to 1,358.67, 1,875.77 and 827.76

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Solution

The fourth proportional to 1,358.67, 1,875.77 and 827.76 is: 1,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.67 : 1,875.77 = 827.76 : x
  2. Step 2: Convert to fraction form
    1,358.67/1,875.77 = 827.76/x
  3. Step 3: Cross multiply
    1,358.67x = 1,875.77 × 827.76
  4. Step 4: Simplify right side
    1,358.67x = 1,552,681.35
  5. Step 5: Solve for x
    x = 1,552,681.35/1,358.67
  6. Step 6: Final answer
    x = 1,142.79

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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.