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Finding the Fourth Proportional to 948.90, 1,307.40 and 829.98

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Solution

The fourth proportional to 948.90, 1,307.40 and 829.98 is: 1,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.90 : 1,307.40 = 829.98 : x
  2. Step 2: Convert to fraction form
    948.90/1,307.40 = 829.98/x
  3. Step 3: Cross multiply
    948.90x = 1,307.40 × 829.98
  4. Step 4: Simplify right side
    948.90x = 1,085,115.85
  5. Step 5: Solve for x
    x = 1,085,115.85/948.90
  6. Step 6: Final answer
    x = 1,143.55

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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.