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Finding the Fourth Proportional to 1,301.00, 1,948.05 and 911.48

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Solution

The fourth proportional to 1,301.00, 1,948.05 and 911.48 is: 1,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.00 : 1,948.05 = 911.48 : x
  2. Step 2: Convert to fraction form
    1,301.00/1,948.05 = 911.48/x
  3. Step 3: Cross multiply
    1,301.00x = 1,948.05 × 911.48
  4. Step 4: Simplify right side
    1,301.00x = 1,775,598.87
  5. Step 5: Solve for x
    x = 1,775,598.87/1,301.00
  6. Step 6: Final answer
    x = 1,364.80

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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.