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Finding the Fourth Proportional to 1,466, 2,199.54 and 772.64

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Solution

The fourth proportional to 1,466, 2,199.54 and 772.64 is: 1,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466 : 2,199.54 = 772.64 : x
  2. Step 2: Convert to fraction form
    1,466/2,199.54 = 772.64/x
  3. Step 3: Cross multiply
    1,466x = 2,199.54 × 772.64
  4. Step 4: Simplify right side
    1,466x = 1,699,452.59
  5. Step 5: Solve for x
    x = 1,699,452.59/1,466
  6. Step 6: Final answer
    x = 1,159.24

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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.