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Finding the Fourth Proportional to 940.54, 1,297.95 and 586.60

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Solution

The fourth proportional to 940.54, 1,297.95 and 586.60 is: 809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.54 : 1,297.95 = 586.60 : x
  2. Step 2: Convert to fraction form
    940.54/1,297.95 = 586.60/x
  3. Step 3: Cross multiply
    940.54x = 1,297.95 × 586.60
  4. Step 4: Simplify right side
    940.54x = 761,381.29
  5. Step 5: Solve for x
    x = 761,381.29/940.54
  6. Step 6: Final answer
    x = 809.52

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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.