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Finding the Fourth Proportional to 1,036.14, 1,554.27 and 459

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Solution

The fourth proportional to 1,036.14, 1,554.27 and 459 is: 688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.14 : 1,554.27 = 459 : x
  2. Step 2: Convert to fraction form
    1,036.14/1,554.27 = 459/x
  3. Step 3: Cross multiply
    1,036.14x = 1,554.27 × 459
  4. Step 4: Simplify right side
    1,036.14x = 713,409.93
  5. Step 5: Solve for x
    x = 713,409.93/1,036.14
  6. Step 6: Final answer
    x = 688.53

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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.