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Finding the Fourth Proportional to 1,055.39, 1,582.62 and 361.91

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Solution

The fourth proportional to 1,055.39, 1,582.62 and 361.91 is: 542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.39 : 1,582.62 = 361.91 : x
  2. Step 2: Convert to fraction form
    1,055.39/1,582.62 = 361.91/x
  3. Step 3: Cross multiply
    1,055.39x = 1,582.62 × 361.91
  4. Step 4: Simplify right side
    1,055.39x = 572,758.09
  5. Step 5: Solve for x
    x = 572,758.09/1,055.39
  6. Step 6: Final answer
    x = 542.70

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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.