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Finding the Fourth Proportional to 1,293.90, 1,941.63 and 472.25

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Solution

The fourth proportional to 1,293.90, 1,941.63 and 472.25 is: 708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.90 : 1,941.63 = 472.25 : x
  2. Step 2: Convert to fraction form
    1,293.90/1,941.63 = 472.25/x
  3. Step 3: Cross multiply
    1,293.90x = 1,941.63 × 472.25
  4. Step 4: Simplify right side
    1,293.90x = 916,925.06
  5. Step 5: Solve for x
    x = 916,925.06/1,293.90
  6. Step 6: Final answer
    x = 708.65

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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.