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Finding the Fourth Proportional to 1,223.60, 1,689.93 and 829.94

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Solution

The fourth proportional to 1,223.60, 1,689.93 and 829.94 is: 1,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.60 : 1,689.93 = 829.94 : x
  2. Step 2: Convert to fraction form
    1,223.60/1,689.93 = 829.94/x
  3. Step 3: Cross multiply
    1,223.60x = 1,689.93 × 829.94
  4. Step 4: Simplify right side
    1,223.60x = 1,402,527.90
  5. Step 5: Solve for x
    x = 1,402,527.90/1,223.60
  6. Step 6: Final answer
    x = 1,146.24

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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.