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Finding the Fourth Proportional to 1,133.06, 1,699.58 and 483.78

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Solution

The fourth proportional to 1,133.06, 1,699.58 and 483.78 is: 725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.06 : 1,699.58 = 483.78 : x
  2. Step 2: Convert to fraction form
    1,133.06/1,699.58 = 483.78/x
  3. Step 3: Cross multiply
    1,133.06x = 1,699.58 × 483.78
  4. Step 4: Simplify right side
    1,133.06x = 822,222.81
  5. Step 5: Solve for x
    x = 822,222.81/1,133.06
  6. Step 6: Final answer
    x = 725.67

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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.