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Finding the Fourth Proportional to 1,041.29, 1,557.20 and 777.93

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Solution

The fourth proportional to 1,041.29, 1,557.20 and 777.93 is: 1,163.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.29 : 1,557.20 = 777.93 : x
  2. Step 2: Convert to fraction form
    1,041.29/1,557.20 = 777.93/x
  3. Step 3: Cross multiply
    1,041.29x = 1,557.20 × 777.93
  4. Step 4: Simplify right side
    1,041.29x = 1,211,392.60
  5. Step 5: Solve for x
    x = 1,211,392.60/1,041.29
  6. Step 6: Final answer
    x = 1,163.36

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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.