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Finding the Fourth Proportional to 1,074.99, 1,612.62 and 1,058.31

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Solution

The fourth proportional to 1,074.99, 1,612.62 and 1,058.31 is: 1,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.99 : 1,612.62 = 1,058.31 : x
  2. Step 2: Convert to fraction form
    1,074.99/1,612.62 = 1,058.31/x
  3. Step 3: Cross multiply
    1,074.99x = 1,612.62 × 1,058.31
  4. Step 4: Simplify right side
    1,074.99x = 1,706,651.87
  5. Step 5: Solve for x
    x = 1,706,651.87/1,074.99
  6. Step 6: Final answer
    x = 1,587.60

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1.5x scale

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.