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Finding the Fourth Proportional to 1,047.50, 1,570.70 and 499.82

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Solution

The fourth proportional to 1,047.50, 1,570.70 and 499.82 is: 749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.50 : 1,570.70 = 499.82 : x
  2. Step 2: Convert to fraction form
    1,047.50/1,570.70 = 499.82/x
  3. Step 3: Cross multiply
    1,047.50x = 1,570.70 × 499.82
  4. Step 4: Simplify right side
    1,047.50x = 785,067.27
  5. Step 5: Solve for x
    x = 785,067.27/1,047.50
  6. Step 6: Final answer
    x = 749.47

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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.