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Finding the Fourth Proportional to 1,085.37, 1,497.80 and 588.01

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Solution

The fourth proportional to 1,085.37, 1,497.80 and 588.01 is: 811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.37 : 1,497.80 = 588.01 : x
  2. Step 2: Convert to fraction form
    1,085.37/1,497.80 = 588.01/x
  3. Step 3: Cross multiply
    1,085.37x = 1,497.80 × 588.01
  4. Step 4: Simplify right side
    1,085.37x = 880,722.74
  5. Step 5: Solve for x
    x = 880,722.74/1,085.37
  6. Step 6: Final answer
    x = 811.45

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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.