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Finding the Fourth Proportional to 1,319.72, 1,981.57 and 1,048.01

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Solution

The fourth proportional to 1,319.72, 1,981.57 and 1,048.01 is: 1,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.72 : 1,981.57 = 1,048.01 : x
  2. Step 2: Convert to fraction form
    1,319.72/1,981.57 = 1,048.01/x
  3. Step 3: Cross multiply
    1,319.72x = 1,981.57 × 1,048.01
  4. Step 4: Simplify right side
    1,319.72x = 2,076,704.01
  5. Step 5: Solve for x
    x = 2,076,704.01/1,319.72
  6. Step 6: Final answer
    x = 1,573.60

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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.