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Finding the Fourth Proportional to 829.53, 1,145.70 and 750.83

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Solution

The fourth proportional to 829.53, 1,145.70 and 750.83 is: 1,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.53 : 1,145.70 = 750.83 : x
  2. Step 2: Convert to fraction form
    829.53/1,145.70 = 750.83/x
  3. Step 3: Cross multiply
    829.53x = 1,145.70 × 750.83
  4. Step 4: Simplify right side
    829.53x = 860,220.20
  5. Step 5: Solve for x
    x = 860,220.20/829.53
  6. Step 6: Final answer
    x = 1,037.00

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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.