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Finding the Fourth Proportional to 1,054.26, 1,582.23 and 477.18

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Solution

The fourth proportional to 1,054.26, 1,582.23 and 477.18 is: 716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.26 : 1,582.23 = 477.18 : x
  2. Step 2: Convert to fraction form
    1,054.26/1,582.23 = 477.18/x
  3. Step 3: Cross multiply
    1,054.26x = 1,582.23 × 477.18
  4. Step 4: Simplify right side
    1,054.26x = 755,008.51
  5. Step 5: Solve for x
    x = 755,008.51/1,054.26
  6. Step 6: Final answer
    x = 716.15

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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.