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Finding the Fourth Proportional to 1,158.54, 1,736.82 and 508.77

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Solution

The fourth proportional to 1,158.54, 1,736.82 and 508.77 is: 762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.54 : 1,736.82 = 508.77 : x
  2. Step 2: Convert to fraction form
    1,158.54/1,736.82 = 508.77/x
  3. Step 3: Cross multiply
    1,158.54x = 1,736.82 × 508.77
  4. Step 4: Simplify right side
    1,158.54x = 883,641.91
  5. Step 5: Solve for x
    x = 883,641.91/1,158.54
  6. Step 6: Final answer
    x = 762.72

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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.