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Finding the Fourth Proportional to 1,030.32, 1,546.65 and 414.48

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Solution

The fourth proportional to 1,030.32, 1,546.65 and 414.48 is: 622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.32 : 1,546.65 = 414.48 : x
  2. Step 2: Convert to fraction form
    1,030.32/1,546.65 = 414.48/x
  3. Step 3: Cross multiply
    1,030.32x = 1,546.65 × 414.48
  4. Step 4: Simplify right side
    1,030.32x = 641,055.49
  5. Step 5: Solve for x
    x = 641,055.49/1,030.32
  6. Step 6: Final answer
    x = 622.19

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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.