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Finding the Fourth Proportional to 1,573.14, 2,359.72 and 477.51

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Solution

The fourth proportional to 1,573.14, 2,359.72 and 477.51 is: 716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.14 : 2,359.72 = 477.51 : x
  2. Step 2: Convert to fraction form
    1,573.14/2,359.72 = 477.51/x
  3. Step 3: Cross multiply
    1,573.14x = 2,359.72 × 477.51
  4. Step 4: Simplify right side
    1,573.14x = 1,126,792.23
  5. Step 5: Solve for x
    x = 1,126,792.23/1,573.14
  6. Step 6: Final answer
    x = 716.27

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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.