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Finding the Fourth Proportional to 1,055.12, 1,582.14 and 477.68

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Solution

The fourth proportional to 1,055.12, 1,582.14 and 477.68 is: 716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.12 : 1,582.14 = 477.68 : x
  2. Step 2: Convert to fraction form
    1,055.12/1,582.14 = 477.68/x
  3. Step 3: Cross multiply
    1,055.12x = 1,582.14 × 477.68
  4. Step 4: Simplify right side
    1,055.12x = 755,756.64
  5. Step 5: Solve for x
    x = 755,756.64/1,055.12
  6. Step 6: Final answer
    x = 716.28

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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.