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Finding the Fourth Proportional to 1,091.70, 1,506.74 and 760.01

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Solution

The fourth proportional to 1,091.70, 1,506.74 and 760.01 is: 1,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.70 : 1,506.74 = 760.01 : x
  2. Step 2: Convert to fraction form
    1,091.70/1,506.74 = 760.01/x
  3. Step 3: Cross multiply
    1,091.70x = 1,506.74 × 760.01
  4. Step 4: Simplify right side
    1,091.70x = 1,145,126.13
  5. Step 5: Solve for x
    x = 1,145,126.13/1,091.70
  6. Step 6: Final answer
    x = 1,048.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.