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Finding the Fourth Proportional to 1,714.71, 2,572.25 and 465.51

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Solution

The fourth proportional to 1,714.71, 2,572.25 and 465.51 is: 698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.71 : 2,572.25 = 465.51 : x
  2. Step 2: Convert to fraction form
    1,714.71/2,572.25 = 465.51/x
  3. Step 3: Cross multiply
    1,714.71x = 2,572.25 × 465.51
  4. Step 4: Simplify right side
    1,714.71x = 1,197,405.77
  5. Step 5: Solve for x
    x = 1,197,405.77/1,714.71
  6. Step 6: Final answer
    x = 698.31

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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.