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Finding the Fourth Proportional to 1,064.34, 1,587.40 and 911.25

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Solution

The fourth proportional to 1,064.34, 1,587.40 and 911.25 is: 1,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.34 : 1,587.40 = 911.25 : x
  2. Step 2: Convert to fraction form
    1,064.34/1,587.40 = 911.25/x
  3. Step 3: Cross multiply
    1,064.34x = 1,587.40 × 911.25
  4. Step 4: Simplify right side
    1,064.34x = 1,446,515.97
  5. Step 5: Solve for x
    x = 1,446,515.97/1,064.34
  6. Step 6: Final answer
    x = 1,359.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.