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Finding the Fourth Proportional to 1,010.09, 1,393.81 and 567.98

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Solution

The fourth proportional to 1,010.09, 1,393.81 and 567.98 is: 783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.09 : 1,393.81 = 567.98 : x
  2. Step 2: Convert to fraction form
    1,010.09/1,393.81 = 567.98/x
  3. Step 3: Cross multiply
    1,010.09x = 1,393.81 × 567.98
  4. Step 4: Simplify right side
    1,010.09x = 791,653.04
  5. Step 5: Solve for x
    x = 791,653.04/1,010.09
  6. Step 6: Final answer
    x = 783.75

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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.