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Finding the Fourth Proportional to 1,098.51, 1,647.79 and 276.77

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Solution

The fourth proportional to 1,098.51, 1,647.79 and 276.77 is: 415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.51 : 1,647.79 = 276.77 : x
  2. Step 2: Convert to fraction form
    1,098.51/1,647.79 = 276.77/x
  3. Step 3: Cross multiply
    1,098.51x = 1,647.79 × 276.77
  4. Step 4: Simplify right side
    1,098.51x = 456,054.55
  5. Step 5: Solve for x
    x = 456,054.55/1,098.51
  6. Step 6: Final answer
    x = 415.16

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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.