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Finding the Fourth Proportional to 1,088.16, 1,501.86 and 646.31

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Solution

The fourth proportional to 1,088.16, 1,501.86 and 646.31 is: 892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.16 : 1,501.86 = 646.31 : x
  2. Step 2: Convert to fraction form
    1,088.16/1,501.86 = 646.31/x
  3. Step 3: Cross multiply
    1,088.16x = 1,501.86 × 646.31
  4. Step 4: Simplify right side
    1,088.16x = 970,659.63
  5. Step 5: Solve for x
    x = 970,659.63/1,088.16
  6. Step 6: Final answer
    x = 892.02

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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.