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Finding the Fourth Proportional to 1,263.79, 1,894.82 and 646.99

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Solution

The fourth proportional to 1,263.79, 1,894.82 and 646.99 is: 970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.79 : 1,894.82 = 646.99 : x
  2. Step 2: Convert to fraction form
    1,263.79/1,894.82 = 646.99/x
  3. Step 3: Cross multiply
    1,263.79x = 1,894.82 × 646.99
  4. Step 4: Simplify right side
    1,263.79x = 1,225,929.59
  5. Step 5: Solve for x
    x = 1,225,929.59/1,263.79
  6. Step 6: Final answer
    x = 970.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.