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Finding the Fourth Proportional to 1,053.46, 1,453.78 and 581.37

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Solution

The fourth proportional to 1,053.46, 1,453.78 and 581.37 is: 802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.46 : 1,453.78 = 581.37 : x
  2. Step 2: Convert to fraction form
    1,053.46/1,453.78 = 581.37/x
  3. Step 3: Cross multiply
    1,053.46x = 1,453.78 × 581.37
  4. Step 4: Simplify right side
    1,053.46x = 845,184.08
  5. Step 5: Solve for x
    x = 845,184.08/1,053.46
  6. Step 6: Final answer
    x = 802.30

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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.