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Finding the Fourth Proportional to 1,055.60, 1,582.74 and 439.73

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Solution

The fourth proportional to 1,055.60, 1,582.74 and 439.73 is: 659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.60 : 1,582.74 = 439.73 : x
  2. Step 2: Convert to fraction form
    1,055.60/1,582.74 = 439.73/x
  3. Step 3: Cross multiply
    1,055.60x = 1,582.74 × 439.73
  4. Step 4: Simplify right side
    1,055.60x = 695,970.35
  5. Step 5: Solve for x
    x = 695,970.35/1,055.60
  6. Step 6: Final answer
    x = 659.32

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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.