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Finding the Fourth Proportional to 1,055.03, 1,582.74 and 405.81

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Solution

The fourth proportional to 1,055.03, 1,582.74 and 405.81 is: 608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.03 : 1,582.74 = 405.81 : x
  2. Step 2: Convert to fraction form
    1,055.03/1,582.74 = 405.81/x
  3. Step 3: Cross multiply
    1,055.03x = 1,582.74 × 405.81
  4. Step 4: Simplify right side
    1,055.03x = 642,291.72
  5. Step 5: Solve for x
    x = 642,291.72/1,055.03
  6. Step 6: Final answer
    x = 608.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.