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Finding the Fourth Proportional to 1,036.63, 1,554.96 and 412.08

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Solution

The fourth proportional to 1,036.63, 1,554.96 and 412.08 is: 618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.63 : 1,554.96 = 412.08 : x
  2. Step 2: Convert to fraction form
    1,036.63/1,554.96 = 412.08/x
  3. Step 3: Cross multiply
    1,036.63x = 1,554.96 × 412.08
  4. Step 4: Simplify right side
    1,036.63x = 640,765.86
  5. Step 5: Solve for x
    x = 640,765.86/1,036.63
  6. Step 6: Final answer
    x = 618.13

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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.