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Finding the Fourth Proportional to 893.88, 1,340.01 and 460.13

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Solution

The fourth proportional to 893.88, 1,340.01 and 460.13 is: 689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.88 : 1,340.01 = 460.13 : x
  2. Step 2: Convert to fraction form
    893.88/1,340.01 = 460.13/x
  3. Step 3: Cross multiply
    893.88x = 1,340.01 × 460.13
  4. Step 4: Simplify right side
    893.88x = 616,572.10
  5. Step 5: Solve for x
    x = 616,572.10/893.88
  6. Step 6: Final answer
    x = 689.77

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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.