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Finding the Fourth Proportional to 931.68, 1,388.16 and 882

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Solution

The fourth proportional to 931.68, 1,388.16 and 882 is: 1,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.68 : 1,388.16 = 882 : x
  2. Step 2: Convert to fraction form
    931.68/1,388.16 = 882/x
  3. Step 3: Cross multiply
    931.68x = 1,388.16 × 882
  4. Step 4: Simplify right side
    931.68x = 1,224,357.12
  5. Step 5: Solve for x
    x = 1,224,357.12/931.68
  6. Step 6: Final answer
    x = 1,314.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.