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Finding the Fourth Proportional to 1,533.88, 2,301.59 and 700.85

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Solution

The fourth proportional to 1,533.88, 2,301.59 and 700.85 is: 1,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.88 : 2,301.59 = 700.85 : x
  2. Step 2: Convert to fraction form
    1,533.88/2,301.59 = 700.85/x
  3. Step 3: Cross multiply
    1,533.88x = 2,301.59 × 700.85
  4. Step 4: Simplify right side
    1,533.88x = 1,613,054.34
  5. Step 5: Solve for x
    x = 1,613,054.34/1,533.88
  6. Step 6: Final answer
    x = 1,051.62

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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.