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Finding the Fourth Proportional to 733.04, 1,094.35 and 623.72

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Solution

The fourth proportional to 733.04, 1,094.35 and 623.72 is: 931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.04 : 1,094.35 = 623.72 : x
  2. Step 2: Convert to fraction form
    733.04/1,094.35 = 623.72/x
  3. Step 3: Cross multiply
    733.04x = 1,094.35 × 623.72
  4. Step 4: Simplify right side
    733.04x = 682,567.98
  5. Step 5: Solve for x
    x = 682,567.98/733.04
  6. Step 6: Final answer
    x = 931.15

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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.