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Finding the Fourth Proportional to 1,058.75, 1,586.44 and 710.80

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Solution

The fourth proportional to 1,058.75, 1,586.44 and 710.80 is: 1,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.75 : 1,586.44 = 710.80 : x
  2. Step 2: Convert to fraction form
    1,058.75/1,586.44 = 710.80/x
  3. Step 3: Cross multiply
    1,058.75x = 1,586.44 × 710.80
  4. Step 4: Simplify right side
    1,058.75x = 1,127,630.07
  5. Step 5: Solve for x
    x = 1,127,630.07/1,058.75
  6. Step 6: Final answer
    x = 1,065.06

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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.