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Finding the Fourth Proportional to 1,294.60, 1,941.90 and 417.10

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Solution

The fourth proportional to 1,294.60, 1,941.90 and 417.10 is: 625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.60 : 1,941.90 = 417.10 : x
  2. Step 2: Convert to fraction form
    1,294.60/1,941.90 = 417.10/x
  3. Step 3: Cross multiply
    1,294.60x = 1,941.90 × 417.10
  4. Step 4: Simplify right side
    1,294.60x = 809,966.49
  5. Step 5: Solve for x
    x = 809,966.49/1,294.60
  6. Step 6: Final answer
    x = 625.65

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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.