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Finding the Fourth Proportional to 1,020.21, 1,407.87 and 565.95

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Solution

The fourth proportional to 1,020.21, 1,407.87 and 565.95 is: 781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.21 : 1,407.87 = 565.95 : x
  2. Step 2: Convert to fraction form
    1,020.21/1,407.87 = 565.95/x
  3. Step 3: Cross multiply
    1,020.21x = 1,407.87 × 565.95
  4. Step 4: Simplify right side
    1,020.21x = 796,784.03
  5. Step 5: Solve for x
    x = 796,784.03/1,020.21
  6. Step 6: Final answer
    x = 781.00

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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.