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Finding the Fourth Proportional to 1,223.53, 1,689.87 and 829.87

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Solution

The fourth proportional to 1,223.53, 1,689.87 and 829.87 is: 1,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.53 : 1,689.87 = 829.87 : x
  2. Step 2: Convert to fraction form
    1,223.53/1,689.87 = 829.87/x
  3. Step 3: Cross multiply
    1,223.53x = 1,689.87 × 829.87
  4. Step 4: Simplify right side
    1,223.53x = 1,402,368.27
  5. Step 5: Solve for x
    x = 1,402,368.27/1,223.53
  6. Step 6: Final answer
    x = 1,146.17

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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.