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Finding the Fourth Proportional to 1,156, 1,733.99 and 290.32

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Solution

The fourth proportional to 1,156, 1,733.99 and 290.32 is: 435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156 : 1,733.99 = 290.32 : x
  2. Step 2: Convert to fraction form
    1,156/1,733.99 = 290.32/x
  3. Step 3: Cross multiply
    1,156x = 1,733.99 × 290.32
  4. Step 4: Simplify right side
    1,156x = 503,411.98
  5. Step 5: Solve for x
    x = 503,411.98/1,156
  6. Step 6: Final answer
    x = 435.48

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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.