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Finding the Fourth Proportional to 1,053.84, 1,454.34 and 611.76

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Solution

The fourth proportional to 1,053.84, 1,454.34 and 611.76 is: 844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.84 : 1,454.34 = 611.76 : x
  2. Step 2: Convert to fraction form
    1,053.84/1,454.34 = 611.76/x
  3. Step 3: Cross multiply
    1,053.84x = 1,454.34 × 611.76
  4. Step 4: Simplify right side
    1,053.84x = 889,707.04
  5. Step 5: Solve for x
    x = 889,707.04/1,053.84
  6. Step 6: Final answer
    x = 844.25

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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.