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Finding the Fourth Proportional to 1,296.35, 1,941.93 and 602.07

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Solution

The fourth proportional to 1,296.35, 1,941.93 and 602.07 is: 901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.35 : 1,941.93 = 602.07 : x
  2. Step 2: Convert to fraction form
    1,296.35/1,941.93 = 602.07/x
  3. Step 3: Cross multiply
    1,296.35x = 1,941.93 × 602.07
  4. Step 4: Simplify right side
    1,296.35x = 1,169,177.80
  5. Step 5: Solve for x
    x = 1,169,177.80/1,296.35
  6. Step 6: Final answer
    x = 901.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.