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Finding the Fourth Proportional to 771.90, 1,064.80 and 585.48

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Solution

The fourth proportional to 771.90, 1,064.80 and 585.48 is: 807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.90 : 1,064.80 = 585.48 : x
  2. Step 2: Convert to fraction form
    771.90/1,064.80 = 585.48/x
  3. Step 3: Cross multiply
    771.90x = 1,064.80 × 585.48
  4. Step 4: Simplify right side
    771.90x = 623,419.10
  5. Step 5: Solve for x
    x = 623,419.10/771.90
  6. Step 6: Final answer
    x = 807.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.