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Finding the Fourth Proportional to 786.58, 1,085.53 and 437.27

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Solution

The fourth proportional to 786.58, 1,085.53 and 437.27 is: 603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.58 : 1,085.53 = 437.27 : x
  2. Step 2: Convert to fraction form
    786.58/1,085.53 = 437.27/x
  3. Step 3: Cross multiply
    786.58x = 1,085.53 × 437.27
  4. Step 4: Simplify right side
    786.58x = 474,664.28
  5. Step 5: Solve for x
    x = 474,664.28/786.58
  6. Step 6: Final answer
    x = 603.46

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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.