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Finding the Fourth Proportional to 1,054.68, 1,580.84 and 395.92

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Solution

The fourth proportional to 1,054.68, 1,580.84 and 395.92 is: 593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.68 : 1,580.84 = 395.92 : x
  2. Step 2: Convert to fraction form
    1,054.68/1,580.84 = 395.92/x
  3. Step 3: Cross multiply
    1,054.68x = 1,580.84 × 395.92
  4. Step 4: Simplify right side
    1,054.68x = 625,886.17
  5. Step 5: Solve for x
    x = 625,886.17/1,054.68
  6. Step 6: Final answer
    x = 593.44

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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.