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Finding the Fourth Proportional to 1,605.66, 2,407.14 and 783.51

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Solution

The fourth proportional to 1,605.66, 2,407.14 and 783.51 is: 1,174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.66 : 2,407.14 = 783.51 : x
  2. Step 2: Convert to fraction form
    1,605.66/2,407.14 = 783.51/x
  3. Step 3: Cross multiply
    1,605.66x = 2,407.14 × 783.51
  4. Step 4: Simplify right side
    1,605.66x = 1,886,018.26
  5. Step 5: Solve for x
    x = 1,886,018.26/1,605.66
  6. Step 6: Final answer
    x = 1,174.61

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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.