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Finding the Fourth Proportional to 784.96, 1,083.68 and 520.16

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Solution

The fourth proportional to 784.96, 1,083.68 and 520.16 is: 718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.96 : 1,083.68 = 520.16 : x
  2. Step 2: Convert to fraction form
    784.96/1,083.68 = 520.16/x
  3. Step 3: Cross multiply
    784.96x = 1,083.68 × 520.16
  4. Step 4: Simplify right side
    784.96x = 563,686.99
  5. Step 5: Solve for x
    x = 563,686.99/784.96
  6. Step 6: Final answer
    x = 718.11

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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.