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Finding the Fourth Proportional to 715.56, 988.25 and 576.14

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Solution

The fourth proportional to 715.56, 988.25 and 576.14 is: 795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.56 : 988.25 = 576.14 : x
  2. Step 2: Convert to fraction form
    715.56/988.25 = 576.14/x
  3. Step 3: Cross multiply
    715.56x = 988.25 × 576.14
  4. Step 4: Simplify right side
    715.56x = 569,368.55
  5. Step 5: Solve for x
    x = 569,368.55/715.56
  6. Step 6: Final answer
    x = 795.70

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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.