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Finding the Fourth Proportional to 1,152.93, 1,730.07 and 459.66

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Solution

The fourth proportional to 1,152.93, 1,730.07 and 459.66 is: 689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.93 : 1,730.07 = 459.66 : x
  2. Step 2: Convert to fraction form
    1,152.93/1,730.07 = 459.66/x
  3. Step 3: Cross multiply
    1,152.93x = 1,730.07 × 459.66
  4. Step 4: Simplify right side
    1,152.93x = 795,243.98
  5. Step 5: Solve for x
    x = 795,243.98/1,152.93
  6. Step 6: Final answer
    x = 689.76

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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.