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Finding the Fourth Proportional to 967.42, 1,335.36 and 569.06

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Solution

The fourth proportional to 967.42, 1,335.36 and 569.06 is: 785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.42 : 1,335.36 = 569.06 : x
  2. Step 2: Convert to fraction form
    967.42/1,335.36 = 569.06/x
  3. Step 3: Cross multiply
    967.42x = 1,335.36 × 569.06
  4. Step 4: Simplify right side
    967.42x = 759,897.12
  5. Step 5: Solve for x
    x = 759,897.12/967.42
  6. Step 6: Final answer
    x = 785.49

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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.