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Finding the Fourth Proportional to 1,533.26, 2,300.29 and 437.65

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Solution

The fourth proportional to 1,533.26, 2,300.29 and 437.65 is: 656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.26 : 2,300.29 = 437.65 : x
  2. Step 2: Convert to fraction form
    1,533.26/2,300.29 = 437.65/x
  3. Step 3: Cross multiply
    1,533.26x = 2,300.29 × 437.65
  4. Step 4: Simplify right side
    1,533.26x = 1,006,715.07
  5. Step 5: Solve for x
    x = 1,006,715.07/1,533.26
  6. Step 6: Final answer
    x = 656.58

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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.