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Finding the Fourth Proportional to 1,398.16, 1,929.64 and 846.16

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Solution

The fourth proportional to 1,398.16, 1,929.64 and 846.16 is: 1,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.16 : 1,929.64 = 846.16 : x
  2. Step 2: Convert to fraction form
    1,398.16/1,929.64 = 846.16/x
  3. Step 3: Cross multiply
    1,398.16x = 1,929.64 × 846.16
  4. Step 4: Simplify right side
    1,398.16x = 1,632,784.18
  5. Step 5: Solve for x
    x = 1,632,784.18/1,398.16
  6. Step 6: Final answer
    x = 1,167.81

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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.