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Finding the Fourth Proportional to 915.84, 1,378.80 and 711.54

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Solution

The fourth proportional to 915.84, 1,378.80 and 711.54 is: 1,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.84 : 1,378.80 = 711.54 : x
  2. Step 2: Convert to fraction form
    915.84/1,378.80 = 711.54/x
  3. Step 3: Cross multiply
    915.84x = 1,378.80 × 711.54
  4. Step 4: Simplify right side
    915.84x = 981,071.35
  5. Step 5: Solve for x
    x = 981,071.35/915.84
  6. Step 6: Final answer
    x = 1,071.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.