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Finding the Fourth Proportional to 915.94, 1,263.93 and 566.50

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Solution

The fourth proportional to 915.94, 1,263.93 and 566.50 is: 781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.94 : 1,263.93 = 566.50 : x
  2. Step 2: Convert to fraction form
    915.94/1,263.93 = 566.50/x
  3. Step 3: Cross multiply
    915.94x = 1,263.93 × 566.50
  4. Step 4: Simplify right side
    915.94x = 716,016.35
  5. Step 5: Solve for x
    x = 716,016.35/915.94
  6. Step 6: Final answer
    x = 781.73

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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.