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Finding the Fourth Proportional to 870.68, 1,201.49 and 567.34

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Solution

The fourth proportional to 870.68, 1,201.49 and 567.34 is: 782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.68 : 1,201.49 = 567.34 : x
  2. Step 2: Convert to fraction form
    870.68/1,201.49 = 567.34/x
  3. Step 3: Cross multiply
    870.68x = 1,201.49 × 567.34
  4. Step 4: Simplify right side
    870.68x = 681,644.49
  5. Step 5: Solve for x
    x = 681,644.49/870.68
  6. Step 6: Final answer
    x = 782.89

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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.