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Finding the Fourth Proportional to 1,054.66, 1,582.14 and 361.42

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Solution

The fourth proportional to 1,054.66, 1,582.14 and 361.42 is: 542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.66 : 1,582.14 = 361.42 : x
  2. Step 2: Convert to fraction form
    1,054.66/1,582.14 = 361.42/x
  3. Step 3: Cross multiply
    1,054.66x = 1,582.14 × 361.42
  4. Step 4: Simplify right side
    1,054.66x = 571,817.04
  5. Step 5: Solve for x
    x = 571,817.04/1,054.66
  6. Step 6: Final answer
    x = 542.18

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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.