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Finding the Fourth Proportional to 1,085.23, 1,497.61 and 587.87

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Solution

The fourth proportional to 1,085.23, 1,497.61 and 587.87 is: 811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.23 : 1,497.61 = 587.87 : x
  2. Step 2: Convert to fraction form
    1,085.23/1,497.61 = 587.87/x
  3. Step 3: Cross multiply
    1,085.23x = 1,497.61 × 587.87
  4. Step 4: Simplify right side
    1,085.23x = 880,395.07
  5. Step 5: Solve for x
    x = 880,395.07/1,085.23
  6. Step 6: Final answer
    x = 811.25

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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.