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Finding the Fourth Proportional to 899.07, 1,349.26 and 770.58

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Solution

The fourth proportional to 899.07, 1,349.26 and 770.58 is: 1,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.07 : 1,349.26 = 770.58 : x
  2. Step 2: Convert to fraction form
    899.07/1,349.26 = 770.58/x
  3. Step 3: Cross multiply
    899.07x = 1,349.26 × 770.58
  4. Step 4: Simplify right side
    899.07x = 1,039,710.84
  5. Step 5: Solve for x
    x = 1,039,710.84/899.07
  6. Step 6: Final answer
    x = 1,156.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.