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Finding the Fourth Proportional to 968.18, 1,335.74 and 569.74

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Solution

The fourth proportional to 968.18, 1,335.74 and 569.74 is: 786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.18 : 1,335.74 = 569.74 : x
  2. Step 2: Convert to fraction form
    968.18/1,335.74 = 569.74/x
  3. Step 3: Cross multiply
    968.18x = 1,335.74 × 569.74
  4. Step 4: Simplify right side
    968.18x = 761,024.51
  5. Step 5: Solve for x
    x = 761,024.51/968.18
  6. Step 6: Final answer
    x = 786.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.