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Finding the Fourth Proportional to 1,573.26, 2,359.19 and 477.43

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Solution

The fourth proportional to 1,573.26, 2,359.19 and 477.43 is: 715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.26 : 2,359.19 = 477.43 : x
  2. Step 2: Convert to fraction form
    1,573.26/2,359.19 = 477.43/x
  3. Step 3: Cross multiply
    1,573.26x = 2,359.19 × 477.43
  4. Step 4: Simplify right side
    1,573.26x = 1,126,343.38
  5. Step 5: Solve for x
    x = 1,126,343.38/1,573.26
  6. Step 6: Final answer
    x = 715.93

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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.