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Finding the Fourth Proportional to 913.72, 1,370.58 and 776.56

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Solution

The fourth proportional to 913.72, 1,370.58 and 776.56 is: 1,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.72 : 1,370.58 = 776.56 : x
  2. Step 2: Convert to fraction form
    913.72/1,370.58 = 776.56/x
  3. Step 3: Cross multiply
    913.72x = 1,370.58 × 776.56
  4. Step 4: Simplify right side
    913.72x = 1,064,337.60
  5. Step 5: Solve for x
    x = 1,064,337.60/913.72
  6. Step 6: Final answer
    x = 1,164.84

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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.