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Finding the Fourth Proportional to 1,054.78, 1,582.16 and 405.97

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Solution

The fourth proportional to 1,054.78, 1,582.16 and 405.97 is: 608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.78 : 1,582.16 = 405.97 : x
  2. Step 2: Convert to fraction form
    1,054.78/1,582.16 = 405.97/x
  3. Step 3: Cross multiply
    1,054.78x = 1,582.16 × 405.97
  4. Step 4: Simplify right side
    1,054.78x = 642,309.50
  5. Step 5: Solve for x
    x = 642,309.50/1,054.78
  6. Step 6: Final answer
    x = 608.95

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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.