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Finding the Fourth Proportional to 1,157.16, 1,735.90 and 473

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Solution

The fourth proportional to 1,157.16, 1,735.90 and 473 is: 709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.16 : 1,735.90 = 473 : x
  2. Step 2: Convert to fraction form
    1,157.16/1,735.90 = 473/x
  3. Step 3: Cross multiply
    1,157.16x = 1,735.90 × 473
  4. Step 4: Simplify right side
    1,157.16x = 821,080.70
  5. Step 5: Solve for x
    x = 821,080.70/1,157.16
  6. Step 6: Final answer
    x = 709.57

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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.