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Finding the Fourth Proportional to 1,133.84, 1,700.66 and 403.40

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Solution

The fourth proportional to 1,133.84, 1,700.66 and 403.40 is: 605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.84 : 1,700.66 = 403.40 : x
  2. Step 2: Convert to fraction form
    1,133.84/1,700.66 = 403.40/x
  3. Step 3: Cross multiply
    1,133.84x = 1,700.66 × 403.40
  4. Step 4: Simplify right side
    1,133.84x = 686,046.24
  5. Step 5: Solve for x
    x = 686,046.24/1,133.84
  6. Step 6: Final answer
    x = 605.06

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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.