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Finding the Fourth Proportional to 915.64, 1,365.12 and 828.16

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Solution

The fourth proportional to 915.64, 1,365.12 and 828.16 is: 1,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.64 : 1,365.12 = 828.16 : x
  2. Step 2: Convert to fraction form
    915.64/1,365.12 = 828.16/x
  3. Step 3: Cross multiply
    915.64x = 1,365.12 × 828.16
  4. Step 4: Simplify right side
    915.64x = 1,130,534.37
  5. Step 5: Solve for x
    x = 1,130,534.37/915.64
  6. Step 6: Final answer
    x = 1,234.70

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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.