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Finding the Fourth Proportional to 771.16, 1,064.21 and 417.08

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Solution

The fourth proportional to 771.16, 1,064.21 and 417.08 is: 575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.16 : 1,064.21 = 417.08 : x
  2. Step 2: Convert to fraction form
    771.16/1,064.21 = 417.08/x
  3. Step 3: Cross multiply
    771.16x = 1,064.21 × 417.08
  4. Step 4: Simplify right side
    771.16x = 443,862.06
  5. Step 5: Solve for x
    x = 443,862.06/771.16
  6. Step 6: Final answer
    x = 575.58

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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.