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Finding the Fourth Proportional to 1,154.94, 1,730.73 and 577.02

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Solution

The fourth proportional to 1,154.94, 1,730.73 and 577.02 is: 864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.94 : 1,730.73 = 577.02 : x
  2. Step 2: Convert to fraction form
    1,154.94/1,730.73 = 577.02/x
  3. Step 3: Cross multiply
    1,154.94x = 1,730.73 × 577.02
  4. Step 4: Simplify right side
    1,154.94x = 998,665.82
  5. Step 5: Solve for x
    x = 998,665.82/1,154.94
  6. Step 6: Final answer
    x = 864.69

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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.