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Finding the Fourth Proportional to 1,030.93, 1,422.68 and 565.18

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Solution

The fourth proportional to 1,030.93, 1,422.68 and 565.18 is: 779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.93 : 1,422.68 = 565.18 : x
  2. Step 2: Convert to fraction form
    1,030.93/1,422.68 = 565.18/x
  3. Step 3: Cross multiply
    1,030.93x = 1,422.68 × 565.18
  4. Step 4: Simplify right side
    1,030.93x = 804,063.90
  5. Step 5: Solve for x
    x = 804,063.90/1,030.93
  6. Step 6: Final answer
    x = 779.94

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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.