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Finding the Fourth Proportional to 915.15, 1,261.43 and 715.63

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Solution

The fourth proportional to 915.15, 1,261.43 and 715.63 is: 986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.15 : 1,261.43 = 715.63 : x
  2. Step 2: Convert to fraction form
    915.15/1,261.43 = 715.63/x
  3. Step 3: Cross multiply
    915.15x = 1,261.43 × 715.63
  4. Step 4: Simplify right side
    915.15x = 902,718.94
  5. Step 5: Solve for x
    x = 902,718.94/915.15
  6. Step 6: Final answer
    x = 986.41

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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.