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Finding the Fourth Proportional to 733.35, 1,090.59 and 710.28

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Solution

The fourth proportional to 733.35, 1,090.59 and 710.28 is: 1,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.35 : 1,090.59 = 710.28 : x
  2. Step 2: Convert to fraction form
    733.35/1,090.59 = 710.28/x
  3. Step 3: Cross multiply
    733.35x = 1,090.59 × 710.28
  4. Step 4: Simplify right side
    733.35x = 774,624.27
  5. Step 5: Solve for x
    x = 774,624.27/733.35
  6. Step 6: Final answer
    x = 1,056.28

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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.