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Finding the Fourth Proportional to 1,715.71, 2,573.75 and 466.51

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Solution

The fourth proportional to 1,715.71, 2,573.75 and 466.51 is: 699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.71 : 2,573.75 = 466.51 : x
  2. Step 2: Convert to fraction form
    1,715.71/2,573.75 = 466.51/x
  3. Step 3: Cross multiply
    1,715.71x = 2,573.75 × 466.51
  4. Step 4: Simplify right side
    1,715.71x = 1,200,680.11
  5. Step 5: Solve for x
    x = 1,200,680.11/1,715.71
  6. Step 6: Final answer
    x = 699.82

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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.