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Finding the Fourth Proportional to 1,133.93, 1,699.70 and 645.94

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Solution

The fourth proportional to 1,133.93, 1,699.70 and 645.94 is: 968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.93 : 1,699.70 = 645.94 : x
  2. Step 2: Convert to fraction form
    1,133.93/1,699.70 = 645.94/x
  3. Step 3: Cross multiply
    1,133.93x = 1,699.70 × 645.94
  4. Step 4: Simplify right side
    1,133.93x = 1,097,892.49
  5. Step 5: Solve for x
    x = 1,097,892.49/1,133.93
  6. Step 6: Final answer
    x = 968.22

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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.