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Finding the Fourth Proportional to 867.93, 1,300.94 and 502.01

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Solution

The fourth proportional to 867.93, 1,300.94 and 502.01 is: 752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.93 : 1,300.94 = 502.01 : x
  2. Step 2: Convert to fraction form
    867.93/1,300.94 = 502.01/x
  3. Step 3: Cross multiply
    867.93x = 1,300.94 × 502.01
  4. Step 4: Simplify right side
    867.93x = 653,084.89
  5. Step 5: Solve for x
    x = 653,084.89/867.93
  6. Step 6: Final answer
    x = 752.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.