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Finding the Fourth Proportional to 715.56, 988.64 and 569.35

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Solution

The fourth proportional to 715.56, 988.64 and 569.35 is: 786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.56 : 988.64 = 569.35 : x
  2. Step 2: Convert to fraction form
    715.56/988.64 = 569.35/x
  3. Step 3: Cross multiply
    715.56x = 988.64 × 569.35
  4. Step 4: Simplify right side
    715.56x = 562,882.18
  5. Step 5: Solve for x
    x = 562,882.18/715.56
  6. Step 6: Final answer
    x = 786.63

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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.