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Finding the Fourth Proportional to 1,036.96, 1,555.71 and 306.55

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Solution

The fourth proportional to 1,036.96, 1,555.71 and 306.55 is: 459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.96 : 1,555.71 = 306.55 : x
  2. Step 2: Convert to fraction form
    1,036.96/1,555.71 = 306.55/x
  3. Step 3: Cross multiply
    1,036.96x = 1,555.71 × 306.55
  4. Step 4: Simplify right side
    1,036.96x = 476,902.90
  5. Step 5: Solve for x
    x = 476,902.90/1,036.96
  6. Step 6: Final answer
    x = 459.90

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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.