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Finding the Fourth Proportional to 759.04, 1,047.40 and 479.25

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Solution

The fourth proportional to 759.04, 1,047.40 and 479.25 is: 661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.04 : 1,047.40 = 479.25 : x
  2. Step 2: Convert to fraction form
    759.04/1,047.40 = 479.25/x
  3. Step 3: Cross multiply
    759.04x = 1,047.40 × 479.25
  4. Step 4: Simplify right side
    759.04x = 501,965.25
  5. Step 5: Solve for x
    x = 501,965.25/759.04
  6. Step 6: Final answer
    x = 661.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.