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Finding the Fourth Proportional to 1,406.48, 2,107.55 and 675.32

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Solution

The fourth proportional to 1,406.48, 2,107.55 and 675.32 is: 1,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.48 : 2,107.55 = 675.32 : x
  2. Step 2: Convert to fraction form
    1,406.48/2,107.55 = 675.32/x
  3. Step 3: Cross multiply
    1,406.48x = 2,107.55 × 675.32
  4. Step 4: Simplify right side
    1,406.48x = 1,423,261.82
  5. Step 5: Solve for x
    x = 1,423,261.82/1,406.48
  6. Step 6: Final answer
    x = 1,011.94

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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.