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Finding the Fourth Proportional to 867.68, 1,302.05 and 457.10

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Solution

The fourth proportional to 867.68, 1,302.05 and 457.10 is: 685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.68 : 1,302.05 = 457.10 : x
  2. Step 2: Convert to fraction form
    867.68/1,302.05 = 457.10/x
  3. Step 3: Cross multiply
    867.68x = 1,302.05 × 457.10
  4. Step 4: Simplify right side
    867.68x = 595,167.06
  5. Step 5: Solve for x
    x = 595,167.06/867.68
  6. Step 6: Final answer
    x = 685.93

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Why These Related Problems?

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