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Finding the Fourth Proportional to 1,157.16, 1,733.40 and 717.06

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Solution

The fourth proportional to 1,157.16, 1,733.40 and 717.06 is: 1,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.16 : 1,733.40 = 717.06 : x
  2. Step 2: Convert to fraction form
    1,157.16/1,733.40 = 717.06/x
  3. Step 3: Cross multiply
    1,157.16x = 1,733.40 × 717.06
  4. Step 4: Simplify right side
    1,157.16x = 1,242,951.80
  5. Step 5: Solve for x
    x = 1,242,951.80/1,157.16
  6. Step 6: Final answer
    x = 1,074.14

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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.