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Finding the Fourth Proportional to 1,345.96, 1,857.77 and 848.22

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Solution

The fourth proportional to 1,345.96, 1,857.77 and 848.22 is: 1,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.96 : 1,857.77 = 848.22 : x
  2. Step 2: Convert to fraction form
    1,345.96/1,857.77 = 848.22/x
  3. Step 3: Cross multiply
    1,345.96x = 1,857.77 × 848.22
  4. Step 4: Simplify right side
    1,345.96x = 1,575,797.67
  5. Step 5: Solve for x
    x = 1,575,797.67/1,345.96
  6. Step 6: Final answer
    x = 1,170.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.