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Finding the Fourth Proportional to 733.86, 1,095.12 and 652.05

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Solution

The fourth proportional to 733.86, 1,095.12 and 652.05 is: 973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.86 : 1,095.12 = 652.05 : x
  2. Step 2: Convert to fraction form
    733.86/1,095.12 = 652.05/x
  3. Step 3: Cross multiply
    733.86x = 1,095.12 × 652.05
  4. Step 4: Simplify right side
    733.86x = 714,073.00
  5. Step 5: Solve for x
    x = 714,073.00/733.86
  6. Step 6: Final answer
    x = 973.04

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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.