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Finding the Fourth Proportional to 1,355.45, 1,870.37 and 824.46

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Solution

The fourth proportional to 1,355.45, 1,870.37 and 824.46 is: 1,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.45 : 1,870.37 = 824.46 : x
  2. Step 2: Convert to fraction form
    1,355.45/1,870.37 = 824.46/x
  3. Step 3: Cross multiply
    1,355.45x = 1,870.37 × 824.46
  4. Step 4: Simplify right side
    1,355.45x = 1,542,041.13
  5. Step 5: Solve for x
    x = 1,542,041.13/1,355.45
  6. Step 6: Final answer
    x = 1,137.66

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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.