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Finding the Fourth Proportional to 771.51, 1,156.14 and 585.62

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Solution

The fourth proportional to 771.51, 1,156.14 and 585.62 is: 877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.51 : 1,156.14 = 585.62 : x
  2. Step 2: Convert to fraction form
    771.51/1,156.14 = 585.62/x
  3. Step 3: Cross multiply
    771.51x = 1,156.14 × 585.62
  4. Step 4: Simplify right side
    771.51x = 677,052.93
  5. Step 5: Solve for x
    x = 677,052.93/771.51
  6. Step 6: Final answer
    x = 877.57

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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.