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Finding the Fourth Proportional to 1,018.32, 1,527.84 and 836.16

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Solution

The fourth proportional to 1,018.32, 1,527.84 and 836.16 is: 1,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.32 : 1,527.84 = 836.16 : x
  2. Step 2: Convert to fraction form
    1,018.32/1,527.84 = 836.16/x
  3. Step 3: Cross multiply
    1,018.32x = 1,527.84 × 836.16
  4. Step 4: Simplify right side
    1,018.32x = 1,277,518.69
  5. Step 5: Solve for x
    x = 1,277,518.69/1,018.32
  6. Step 6: Final answer
    x = 1,254.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.