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Finding the Fourth Proportional to 1,058.60, 1,586.54 and 913.26

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Solution

The fourth proportional to 1,058.60, 1,586.54 and 913.26 is: 1,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.60 : 1,586.54 = 913.26 : x
  2. Step 2: Convert to fraction form
    1,058.60/1,586.54 = 913.26/x
  3. Step 3: Cross multiply
    1,058.60x = 1,586.54 × 913.26
  4. Step 4: Simplify right side
    1,058.60x = 1,448,917.69
  5. Step 5: Solve for x
    x = 1,448,917.69/1,058.60
  6. Step 6: Final answer
    x = 1,368.71

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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.