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Finding the Fourth Proportional to 1,054.86, 1,582.74 and 813.36

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Solution

The fourth proportional to 1,054.86, 1,582.74 and 813.36 is: 1,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.86 : 1,582.74 = 813.36 : x
  2. Step 2: Convert to fraction form
    1,054.86/1,582.74 = 813.36/x
  3. Step 3: Cross multiply
    1,054.86x = 1,582.74 × 813.36
  4. Step 4: Simplify right side
    1,054.86x = 1,287,337.41
  5. Step 5: Solve for x
    x = 1,287,337.41/1,054.86
  6. Step 6: Final answer
    x = 1,220.39

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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.