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Finding the Fourth Proportional to 1,204.48, 1,804.80 and 977.92

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Solution

The fourth proportional to 1,204.48, 1,804.80 and 977.92 is: 1,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.48 : 1,804.80 = 977.92 : x
  2. Step 2: Convert to fraction form
    1,204.48/1,804.80 = 977.92/x
  3. Step 3: Cross multiply
    1,204.48x = 1,804.80 × 977.92
  4. Step 4: Simplify right side
    1,204.48x = 1,764,950.02
  5. Step 5: Solve for x
    x = 1,764,950.02/1,204.48
  6. Step 6: Final answer
    x = 1,465.32

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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.