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Finding the Fourth Proportional to 786.34, 1,084.93 and 491.46

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Solution

The fourth proportional to 786.34, 1,084.93 and 491.46 is: 678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.34 : 1,084.93 = 491.46 : x
  2. Step 2: Convert to fraction form
    786.34/1,084.93 = 491.46/x
  3. Step 3: Cross multiply
    786.34x = 1,084.93 × 491.46
  4. Step 4: Simplify right side
    786.34x = 533,199.70
  5. Step 5: Solve for x
    x = 533,199.70/786.34
  6. Step 6: Final answer
    x = 678.08

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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.