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Finding the Fourth Proportional to 1,125.42, 1,685.40 and 777.84

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Solution

The fourth proportional to 1,125.42, 1,685.40 and 777.84 is: 1,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.42 : 1,685.40 = 777.84 : x
  2. Step 2: Convert to fraction form
    1,125.42/1,685.40 = 777.84/x
  3. Step 3: Cross multiply
    1,125.42x = 1,685.40 × 777.84
  4. Step 4: Simplify right side
    1,125.42x = 1,310,971.54
  5. Step 5: Solve for x
    x = 1,310,971.54/1,125.42
  6. Step 6: Final answer
    x = 1,164.87

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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.