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Finding the Fourth Proportional to 867.57, 1,302.12 and 457.01

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Solution

The fourth proportional to 867.57, 1,302.12 and 457.01 is: 685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.57 : 1,302.12 = 457.01 : x
  2. Step 2: Convert to fraction form
    867.57/1,302.12 = 457.01/x
  3. Step 3: Cross multiply
    867.57x = 1,302.12 × 457.01
  4. Step 4: Simplify right side
    867.57x = 595,073.07
  5. Step 5: Solve for x
    x = 595,073.07/867.57
  6. Step 6: Final answer
    x = 685.91

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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.