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Finding the Fourth Proportional to 1,036.66, 1,555.31 and 306.24

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Solution

The fourth proportional to 1,036.66, 1,555.31 and 306.24 is: 459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.66 : 1,555.31 = 306.24 : x
  2. Step 2: Convert to fraction form
    1,036.66/1,555.31 = 306.24/x
  3. Step 3: Cross multiply
    1,036.66x = 1,555.31 × 306.24
  4. Step 4: Simplify right side
    1,036.66x = 476,291.12
  5. Step 5: Solve for x
    x = 476,291.12/1,036.66
  6. Step 6: Final answer
    x = 459.45

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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.