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Finding the Fourth Proportional to 1,656.79, 2,284.47 and 1,058.47

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Solution

The fourth proportional to 1,656.79, 2,284.47 and 1,058.47 is: 1,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.79 : 2,284.47 = 1,058.47 : x
  2. Step 2: Convert to fraction form
    1,656.79/2,284.47 = 1,058.47/x
  3. Step 3: Cross multiply
    1,656.79x = 2,284.47 × 1,058.47
  4. Step 4: Simplify right side
    1,656.79x = 2,418,042.96
  5. Step 5: Solve for x
    x = 2,418,042.96/1,656.79
  6. Step 6: Final answer
    x = 1,459.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.