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Finding the Fourth Proportional to 1,153.46, 1,730.16 and 287.77

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Solution

The fourth proportional to 1,153.46, 1,730.16 and 287.77 is: 431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.46 : 1,730.16 = 287.77 : x
  2. Step 2: Convert to fraction form
    1,153.46/1,730.16 = 287.77/x
  3. Step 3: Cross multiply
    1,153.46x = 1,730.16 × 287.77
  4. Step 4: Simplify right side
    1,153.46x = 497,888.14
  5. Step 5: Solve for x
    x = 497,888.14/1,153.46
  6. Step 6: Final answer
    x = 431.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.