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Finding the Fourth Proportional to 1,071.48, 1,608.58 and 841.16

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Solution

The fourth proportional to 1,071.48, 1,608.58 and 841.16 is: 1,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.48 : 1,608.58 = 841.16 : x
  2. Step 2: Convert to fraction form
    1,071.48/1,608.58 = 841.16/x
  3. Step 3: Cross multiply
    1,071.48x = 1,608.58 × 841.16
  4. Step 4: Simplify right side
    1,071.48x = 1,353,076.07
  5. Step 5: Solve for x
    x = 1,353,076.07/1,071.48
  6. Step 6: Final answer
    x = 1,262.81

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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.