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Finding the Fourth Proportional to 731.04, 1,089.84 and 696.48

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Solution

The fourth proportional to 731.04, 1,089.84 and 696.48 is: 1,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.04 : 1,089.84 = 696.48 : x
  2. Step 2: Convert to fraction form
    731.04/1,089.84 = 696.48/x
  3. Step 3: Cross multiply
    731.04x = 1,089.84 × 696.48
  4. Step 4: Simplify right side
    731.04x = 759,051.76
  5. Step 5: Solve for x
    x = 759,051.76/731.04
  6. Step 6: Final answer
    x = 1,038.32

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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.