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Finding the Fourth Proportional to 786.65, 1,085.24 and 492.01

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Solution

The fourth proportional to 786.65, 1,085.24 and 492.01 is: 678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.65 : 1,085.24 = 492.01 : x
  2. Step 2: Convert to fraction form
    786.65/1,085.24 = 492.01/x
  3. Step 3: Cross multiply
    786.65x = 1,085.24 × 492.01
  4. Step 4: Simplify right side
    786.65x = 533,948.93
  5. Step 5: Solve for x
    x = 533,948.93/786.65
  6. Step 6: Final answer
    x = 678.76

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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.