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Finding the Fourth Proportional to 1,404.58, 2,106.34 and 467.32

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Solution

The fourth proportional to 1,404.58, 2,106.34 and 467.32 is: 700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.58 : 2,106.34 = 467.32 : x
  2. Step 2: Convert to fraction form
    1,404.58/2,106.34 = 467.32/x
  3. Step 3: Cross multiply
    1,404.58x = 2,106.34 × 467.32
  4. Step 4: Simplify right side
    1,404.58x = 984,334.81
  5. Step 5: Solve for x
    x = 984,334.81/1,404.58
  6. Step 6: Final answer
    x = 700.80

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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.