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Finding the Fourth Proportional to 1,011.77, 1,516.81 and 702.71

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Solution

The fourth proportional to 1,011.77, 1,516.81 and 702.71 is: 1,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.77 : 1,516.81 = 702.71 : x
  2. Step 2: Convert to fraction form
    1,011.77/1,516.81 = 702.71/x
  3. Step 3: Cross multiply
    1,011.77x = 1,516.81 × 702.71
  4. Step 4: Simplify right side
    1,011.77x = 1,065,877.56
  5. Step 5: Solve for x
    x = 1,065,877.56/1,011.77
  6. Step 6: Final answer
    x = 1,053.48

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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.