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Finding the Fourth Proportional to 728.96, 1,095.64 and 474.08

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Solution

The fourth proportional to 728.96, 1,095.64 and 474.08 is: 712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.96 : 1,095.64 = 474.08 : x
  2. Step 2: Convert to fraction form
    728.96/1,095.64 = 474.08/x
  3. Step 3: Cross multiply
    728.96x = 1,095.64 × 474.08
  4. Step 4: Simplify right side
    728.96x = 519,421.01
  5. Step 5: Solve for x
    x = 519,421.01/728.96
  6. Step 6: Final answer
    x = 712.55

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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.