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Finding the Fourth Proportional to 1,223.29, 1,688.58 and 725.93

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Solution

The fourth proportional to 1,223.29, 1,688.58 and 725.93 is: 1,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.29 : 1,688.58 = 725.93 : x
  2. Step 2: Convert to fraction form
    1,223.29/1,688.58 = 725.93/x
  3. Step 3: Cross multiply
    1,223.29x = 1,688.58 × 725.93
  4. Step 4: Simplify right side
    1,223.29x = 1,225,796.01
  5. Step 5: Solve for x
    x = 1,225,796.01/1,223.29
  6. Step 6: Final answer
    x = 1,002.05

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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.