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Finding the Fourth Proportional to 915.36, 1,263.42 and 583.74

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Solution

The fourth proportional to 915.36, 1,263.42 and 583.74 is: 805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.36 : 1,263.42 = 583.74 : x
  2. Step 2: Convert to fraction form
    915.36/1,263.42 = 583.74/x
  3. Step 3: Cross multiply
    915.36x = 1,263.42 × 583.74
  4. Step 4: Simplify right side
    915.36x = 737,508.79
  5. Step 5: Solve for x
    x = 737,508.79/915.36
  6. Step 6: Final answer
    x = 805.70

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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.