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Finding the Fourth Proportional to 915.60, 1,364.42 and 890.48

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Solution

The fourth proportional to 915.60, 1,364.42 and 890.48 is: 1,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.60 : 1,364.42 = 890.48 : x
  2. Step 2: Convert to fraction form
    915.60/1,364.42 = 890.48/x
  3. Step 3: Cross multiply
    915.60x = 1,364.42 × 890.48
  4. Step 4: Simplify right side
    915.60x = 1,214,988.72
  5. Step 5: Solve for x
    x = 1,214,988.72/915.60
  6. Step 6: Final answer
    x = 1,326.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.