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Finding the Fourth Proportional to 867.32, 1,298.00 and 538.13

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Solution

The fourth proportional to 867.32, 1,298.00 and 538.13 is: 805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.32 : 1,298.00 = 538.13 : x
  2. Step 2: Convert to fraction form
    867.32/1,298.00 = 538.13/x
  3. Step 3: Cross multiply
    867.32x = 1,298.00 × 538.13
  4. Step 4: Simplify right side
    867.32x = 698,483.56
  5. Step 5: Solve for x
    x = 698,483.56/867.32
  6. Step 6: Final answer
    x = 805.34

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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.