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Finding the Fourth Proportional to 1,341.71, 2,012.63 and 417.25

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Solution

The fourth proportional to 1,341.71, 2,012.63 and 417.25 is: 625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.71 : 2,012.63 = 417.25 : x
  2. Step 2: Convert to fraction form
    1,341.71/2,012.63 = 417.25/x
  3. Step 3: Cross multiply
    1,341.71x = 2,012.63 × 417.25
  4. Step 4: Simplify right side
    1,341.71x = 839,762.75
  5. Step 5: Solve for x
    x = 839,762.75/1,341.71
  6. Step 6: Final answer
    x = 625.89

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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.