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Finding the Fourth Proportional to 1,386.16, 2,080.64 and 656.32

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Solution

The fourth proportional to 1,386.16, 2,080.64 and 656.32 is: 985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.16 : 2,080.64 = 656.32 : x
  2. Step 2: Convert to fraction form
    1,386.16/2,080.64 = 656.32/x
  3. Step 3: Cross multiply
    1,386.16x = 2,080.64 × 656.32
  4. Step 4: Simplify right side
    1,386.16x = 1,365,565.64
  5. Step 5: Solve for x
    x = 1,365,565.64/1,386.16
  6. Step 6: Final answer
    x = 985.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.