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Finding the Fourth Proportional to 786.44, 1,085.29 and 437.13

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Solution

The fourth proportional to 786.44, 1,085.29 and 437.13 is: 603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.44 : 1,085.29 = 437.13 : x
  2. Step 2: Convert to fraction form
    786.44/1,085.29 = 437.13/x
  3. Step 3: Cross multiply
    786.44x = 1,085.29 × 437.13
  4. Step 4: Simplify right side
    786.44x = 474,412.82
  5. Step 5: Solve for x
    x = 474,412.82/786.44
  6. Step 6: Final answer
    x = 603.24

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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.