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Finding the Fourth Proportional to 1,032.72, 1,424.16 and 784.08

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Solution

The fourth proportional to 1,032.72, 1,424.16 and 784.08 is: 1,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.72 : 1,424.16 = 784.08 : x
  2. Step 2: Convert to fraction form
    1,032.72/1,424.16 = 784.08/x
  3. Step 3: Cross multiply
    1,032.72x = 1,424.16 × 784.08
  4. Step 4: Simplify right side
    1,032.72x = 1,116,655.37
  5. Step 5: Solve for x
    x = 1,116,655.37/1,032.72
  6. Step 6: Final answer
    x = 1,081.28

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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.