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Finding the Fourth Proportional to 1,041.76, 1,561.20 and 785.44

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Solution

The fourth proportional to 1,041.76, 1,561.20 and 785.44 is: 1,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.76 : 1,561.20 = 785.44 : x
  2. Step 2: Convert to fraction form
    1,041.76/1,561.20 = 785.44/x
  3. Step 3: Cross multiply
    1,041.76x = 1,561.20 × 785.44
  4. Step 4: Simplify right side
    1,041.76x = 1,226,228.93
  5. Step 5: Solve for x
    x = 1,226,228.93/1,041.76
  6. Step 6: Final answer
    x = 1,177.07

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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.