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Finding the Fourth Proportional to 1,054.84, 1,581.90 and 361.32

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Solution

The fourth proportional to 1,054.84, 1,581.90 and 361.32 is: 541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.84 : 1,581.90 = 361.32 : x
  2. Step 2: Convert to fraction form
    1,054.84/1,581.90 = 361.32/x
  3. Step 3: Cross multiply
    1,054.84x = 1,581.90 × 361.32
  4. Step 4: Simplify right side
    1,054.84x = 571,572.11
  5. Step 5: Solve for x
    x = 571,572.11/1,054.84
  6. Step 6: Final answer
    x = 541.86

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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.