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Finding the Fourth Proportional to 1,415.67, 1,953.75 and 826.40

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Solution

The fourth proportional to 1,415.67, 1,953.75 and 826.40 is: 1,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.67 : 1,953.75 = 826.40 : x
  2. Step 2: Convert to fraction form
    1,415.67/1,953.75 = 826.40/x
  3. Step 3: Cross multiply
    1,415.67x = 1,953.75 × 826.40
  4. Step 4: Simplify right side
    1,415.67x = 1,614,569.23
  5. Step 5: Solve for x
    x = 1,614,569.23/1,415.67
  6. Step 6: Final answer
    x = 1,140.50

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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.