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Finding the Fourth Proportional to 1,053.70, 1,454.20 and 605.63

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Solution

The fourth proportional to 1,053.70, 1,454.20 and 605.63 is: 835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.70 : 1,454.20 = 605.63 : x
  2. Step 2: Convert to fraction form
    1,053.70/1,454.20 = 605.63/x
  3. Step 3: Cross multiply
    1,053.70x = 1,454.20 × 605.63
  4. Step 4: Simplify right side
    1,053.70x = 880,698.36
  5. Step 5: Solve for x
    x = 880,698.36/1,053.70
  6. Step 6: Final answer
    x = 835.82

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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.