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Finding the Fourth Proportional to 1,030.82, 1,422.54 and 565.07

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Solution

The fourth proportional to 1,030.82, 1,422.54 and 565.07 is: 779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.82 : 1,422.54 = 565.07 : x
  2. Step 2: Convert to fraction form
    1,030.82/1,422.54 = 565.07/x
  3. Step 3: Cross multiply
    1,030.82x = 1,422.54 × 565.07
  4. Step 4: Simplify right side
    1,030.82x = 803,834.68
  5. Step 5: Solve for x
    x = 803,834.68/1,030.82
  6. Step 6: Final answer
    x = 779.80

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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.