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Finding the Fourth Proportional to 1,054.26, 1,581.93 and 405.18

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Solution

The fourth proportional to 1,054.26, 1,581.93 and 405.18 is: 607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.26 : 1,581.93 = 405.18 : x
  2. Step 2: Convert to fraction form
    1,054.26/1,581.93 = 405.18/x
  3. Step 3: Cross multiply
    1,054.26x = 1,581.93 × 405.18
  4. Step 4: Simplify right side
    1,054.26x = 640,966.40
  5. Step 5: Solve for x
    x = 640,966.40/1,054.26
  6. Step 6: Final answer
    x = 607.98

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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.