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Finding the Fourth Proportional to 759.04, 1,132.04 and 696.16

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Solution

The fourth proportional to 759.04, 1,132.04 and 696.16 is: 1,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.04 : 1,132.04 = 696.16 : x
  2. Step 2: Convert to fraction form
    759.04/1,132.04 = 696.16/x
  3. Step 3: Cross multiply
    759.04x = 1,132.04 × 696.16
  4. Step 4: Simplify right side
    759.04x = 788,080.97
  5. Step 5: Solve for x
    x = 788,080.97/759.04
  6. Step 6: Final answer
    x = 1,038.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.