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Finding the Fourth Proportional to 894.04, 1,341.63 and 826.40

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Solution

The fourth proportional to 894.04, 1,341.63 and 826.40 is: 1,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.04 : 1,341.63 = 826.40 : x
  2. Step 2: Convert to fraction form
    894.04/1,341.63 = 826.40/x
  3. Step 3: Cross multiply
    894.04x = 1,341.63 × 826.40
  4. Step 4: Simplify right side
    894.04x = 1,108,726.39
  5. Step 5: Solve for x
    x = 1,108,726.39/894.04
  6. Step 6: Final answer
    x = 1,240.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.