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Finding the Fourth Proportional to 1,085.34, 1,497.75 and 587.97

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Solution

The fourth proportional to 1,085.34, 1,497.75 and 587.97 is: 811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.34 : 1,497.75 = 587.97 : x
  2. Step 2: Convert to fraction form
    1,085.34/1,497.75 = 587.97/x
  3. Step 3: Cross multiply
    1,085.34x = 1,497.75 × 587.97
  4. Step 4: Simplify right side
    1,085.34x = 880,628.32
  5. Step 5: Solve for x
    x = 880,628.32/1,085.34
  6. Step 6: Final answer
    x = 811.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.