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Finding the Fourth Proportional to 1,347.17, 1,858.16 and 823.46

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Solution

The fourth proportional to 1,347.17, 1,858.16 and 823.46 is: 1,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.17 : 1,858.16 = 823.46 : x
  2. Step 2: Convert to fraction form
    1,347.17/1,858.16 = 823.46/x
  3. Step 3: Cross multiply
    1,347.17x = 1,858.16 × 823.46
  4. Step 4: Simplify right side
    1,347.17x = 1,530,113.20
  5. Step 5: Solve for x
    x = 1,530,113.20/1,347.17
  6. Step 6: Final answer
    x = 1,135.80

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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.