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Finding the Fourth Proportional to 1,295.03, 1,941.49 and 602.13

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Solution

The fourth proportional to 1,295.03, 1,941.49 and 602.13 is: 902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.03 : 1,941.49 = 602.13 : x
  2. Step 2: Convert to fraction form
    1,295.03/1,941.49 = 602.13/x
  3. Step 3: Cross multiply
    1,295.03x = 1,941.49 × 602.13
  4. Step 4: Simplify right side
    1,295.03x = 1,169,037.41
  5. Step 5: Solve for x
    x = 1,169,037.41/1,295.03
  6. Step 6: Final answer
    x = 902.71

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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.