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Finding the Fourth Proportional to 1,223.06, 1,835.67 and 646.34

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Solution

The fourth proportional to 1,223.06, 1,835.67 and 646.34 is: 970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.06 : 1,835.67 = 646.34 : x
  2. Step 2: Convert to fraction form
    1,223.06/1,835.67 = 646.34/x
  3. Step 3: Cross multiply
    1,223.06x = 1,835.67 × 646.34
  4. Step 4: Simplify right side
    1,223.06x = 1,186,466.95
  5. Step 5: Solve for x
    x = 1,186,466.95/1,223.06
  6. Step 6: Final answer
    x = 970.08

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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.