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Finding the Fourth Proportional to 1,071.76, 1,601.36 and 1,048.72

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Solution

The fourth proportional to 1,071.76, 1,601.36 and 1,048.72 is: 1,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.76 : 1,601.36 = 1,048.72 : x
  2. Step 2: Convert to fraction form
    1,071.76/1,601.36 = 1,048.72/x
  3. Step 3: Cross multiply
    1,071.76x = 1,601.36 × 1,048.72
  4. Step 4: Simplify right side
    1,071.76x = 1,679,378.26
  5. Step 5: Solve for x
    x = 1,679,378.26/1,071.76
  6. Step 6: Final answer
    x = 1,566.94

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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.