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Finding the Fourth Proportional to 1,054.19, 1,581.50 and 534.49

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Solution

The fourth proportional to 1,054.19, 1,581.50 and 534.49 is: 801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.19 : 1,581.50 = 534.49 : x
  2. Step 2: Convert to fraction form
    1,054.19/1,581.50 = 534.49/x
  3. Step 3: Cross multiply
    1,054.19x = 1,581.50 × 534.49
  4. Step 4: Simplify right side
    1,054.19x = 845,293.32
  5. Step 5: Solve for x
    x = 845,293.32/1,054.19
  6. Step 6: Final answer
    x = 801.84

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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.