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Finding the Fourth Proportional to 1,009.68, 1,393.28 and 567.65

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Solution

The fourth proportional to 1,009.68, 1,393.28 and 567.65 is: 783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.68 : 1,393.28 = 567.65 : x
  2. Step 2: Convert to fraction form
    1,009.68/1,393.28 = 567.65/x
  3. Step 3: Cross multiply
    1,009.68x = 1,393.28 × 567.65
  4. Step 4: Simplify right side
    1,009.68x = 790,889.84
  5. Step 5: Solve for x
    x = 790,889.84/1,009.68
  6. Step 6: Final answer
    x = 783.31

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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.