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Finding the Fourth Proportional to 715.99, 1,071.93 and 579.31

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Solution

The fourth proportional to 715.99, 1,071.93 and 579.31 is: 867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.99 : 1,071.93 = 579.31 : x
  2. Step 2: Convert to fraction form
    715.99/1,071.93 = 579.31/x
  3. Step 3: Cross multiply
    715.99x = 1,071.93 × 579.31
  4. Step 4: Simplify right side
    715.99x = 620,979.77
  5. Step 5: Solve for x
    x = 620,979.77/715.99
  6. Step 6: Final answer
    x = 867.30

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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.