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Finding the Fourth Proportional to 1,054.45, 1,582.50 and 396.93

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Solution

The fourth proportional to 1,054.45, 1,582.50 and 396.93 is: 595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.45 : 1,582.50 = 396.93 : x
  2. Step 2: Convert to fraction form
    1,054.45/1,582.50 = 396.93/x
  3. Step 3: Cross multiply
    1,054.45x = 1,582.50 × 396.93
  4. Step 4: Simplify right side
    1,054.45x = 628,149.15
  5. Step 5: Solve for x
    x = 628,149.15/1,054.45
  6. Step 6: Final answer
    x = 595.71

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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.