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Finding the Fourth Proportional to 715.37, 987.66 and 558.16

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Solution

The fourth proportional to 715.37, 987.66 and 558.16 is: 770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.37 : 987.66 = 558.16 : x
  2. Step 2: Convert to fraction form
    715.37/987.66 = 558.16/x
  3. Step 3: Cross multiply
    715.37x = 987.66 × 558.16
  4. Step 4: Simplify right side
    715.37x = 551,269.84
  5. Step 5: Solve for x
    x = 551,269.84/715.37
  6. Step 6: Final answer
    x = 770.61

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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.