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Finding the Fourth Proportional to 1,197.04, 1,652.59 and 777.77

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Solution

The fourth proportional to 1,197.04, 1,652.59 and 777.77 is: 1,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.04 : 1,652.59 = 777.77 : x
  2. Step 2: Convert to fraction form
    1,197.04/1,652.59 = 777.77/x
  3. Step 3: Cross multiply
    1,197.04x = 1,652.59 × 777.77
  4. Step 4: Simplify right side
    1,197.04x = 1,285,334.92
  5. Step 5: Solve for x
    x = 1,285,334.92/1,197.04
  6. Step 6: Final answer
    x = 1,073.76

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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.