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Finding the Fourth Proportional to 1,573.05, 2,359.23 and 477.17

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Solution

The fourth proportional to 1,573.05, 2,359.23 and 477.17 is: 715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.05 : 2,359.23 = 477.17 : x
  2. Step 2: Convert to fraction form
    1,573.05/2,359.23 = 477.17/x
  3. Step 3: Cross multiply
    1,573.05x = 2,359.23 × 477.17
  4. Step 4: Simplify right side
    1,573.05x = 1,125,741.98
  5. Step 5: Solve for x
    x = 1,125,741.98/1,573.05
  6. Step 6: Final answer
    x = 715.64

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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.