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Finding the Fourth Proportional to 1,157.84, 1,734.28 and 1,058.20

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Solution

The fourth proportional to 1,157.84, 1,734.28 and 1,058.20 is: 1,585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.84 : 1,734.28 = 1,058.20 : x
  2. Step 2: Convert to fraction form
    1,157.84/1,734.28 = 1,058.20/x
  3. Step 3: Cross multiply
    1,157.84x = 1,734.28 × 1,058.20
  4. Step 4: Simplify right side
    1,157.84x = 1,835,215.10
  5. Step 5: Solve for x
    x = 1,835,215.10/1,157.84
  6. Step 6: Final answer
    x = 1,585.03

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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.