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Finding the Fourth Proportional to 1,055.38, 1,582.16 and 405.69

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Solution

The fourth proportional to 1,055.38, 1,582.16 and 405.69 is: 608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.38 : 1,582.16 = 405.69 : x
  2. Step 2: Convert to fraction form
    1,055.38/1,582.16 = 405.69/x
  3. Step 3: Cross multiply
    1,055.38x = 1,582.16 × 405.69
  4. Step 4: Simplify right side
    1,055.38x = 641,864.46
  5. Step 5: Solve for x
    x = 641,864.46/1,055.38
  6. Step 6: Final answer
    x = 608.18

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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.