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Finding the Fourth Proportional to 1,533.94, 2,300.75 and 711.69

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Solution

The fourth proportional to 1,533.94, 2,300.75 and 711.69 is: 1,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.94 : 2,300.75 = 711.69 : x
  2. Step 2: Convert to fraction form
    1,533.94/2,300.75 = 711.69/x
  3. Step 3: Cross multiply
    1,533.94x = 2,300.75 × 711.69
  4. Step 4: Simplify right side
    1,533.94x = 1,637,415.25
  5. Step 5: Solve for x
    x = 1,637,415.25/1,533.94
  6. Step 6: Final answer
    x = 1,067.46

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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.