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Finding the Fourth Proportional to 1,036.14, 1,554.47 and 305.72

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Solution

The fourth proportional to 1,036.14, 1,554.47 and 305.72 is: 458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.14 : 1,554.47 = 305.72 : x
  2. Step 2: Convert to fraction form
    1,036.14/1,554.47 = 305.72/x
  3. Step 3: Cross multiply
    1,036.14x = 1,554.47 × 305.72
  4. Step 4: Simplify right side
    1,036.14x = 475,232.57
  5. Step 5: Solve for x
    x = 475,232.57/1,036.14
  6. Step 6: Final answer
    x = 458.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.