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Finding the Fourth Proportional to 1,011.70, 1,514.51 and 902.35

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Solution

The fourth proportional to 1,011.70, 1,514.51 and 902.35 is: 1,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.70 : 1,514.51 = 902.35 : x
  2. Step 2: Convert to fraction form
    1,011.70/1,514.51 = 902.35/x
  3. Step 3: Cross multiply
    1,011.70x = 1,514.51 × 902.35
  4. Step 4: Simplify right side
    1,011.70x = 1,366,620.35
  5. Step 5: Solve for x
    x = 1,366,620.35/1,011.70
  6. Step 6: Final answer
    x = 1,350.82

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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.