Home / 1,157.12-1,733.12-700.16

Finding the Fourth Proportional to 1,157.12, 1,733.12 and 700.16

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Solution

The fourth proportional to 1,157.12, 1,733.12 and 700.16 is: 1,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.12 : 1,733.12 = 700.16 : x
  2. Step 2: Convert to fraction form
    1,157.12/1,733.12 = 700.16/x
  3. Step 3: Cross multiply
    1,157.12x = 1,733.12 × 700.16
  4. Step 4: Simplify right side
    1,157.12x = 1,213,461.30
  5. Step 5: Solve for x
    x = 1,213,461.30/1,157.12
  6. Step 6: Final answer
    x = 1,048.69

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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.