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Finding the Fourth Proportional to 1,264.11, 1,897.32 and 913.07

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Solution

The fourth proportional to 1,264.11, 1,897.32 and 913.07 is: 1,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.11 : 1,897.32 = 913.07 : x
  2. Step 2: Convert to fraction form
    1,264.11/1,897.32 = 913.07/x
  3. Step 3: Cross multiply
    1,264.11x = 1,897.32 × 913.07
  4. Step 4: Simplify right side
    1,264.11x = 1,732,394.14
  5. Step 5: Solve for x
    x = 1,732,394.14/1,264.11
  6. Step 6: Final answer
    x = 1,370.45

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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.