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Finding the Fourth Proportional to 867.01, 1,196.70 and 583.48

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Solution

The fourth proportional to 867.01, 1,196.70 and 583.48 is: 805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.01 : 1,196.70 = 583.48 : x
  2. Step 2: Convert to fraction form
    867.01/1,196.70 = 583.48/x
  3. Step 3: Cross multiply
    867.01x = 1,196.70 × 583.48
  4. Step 4: Simplify right side
    867.01x = 698,248.10
  5. Step 5: Solve for x
    x = 698,248.10/867.01
  6. Step 6: Final answer
    x = 805.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.