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Finding the Fourth Proportional to 946.06, 1,417.50 and 713.78

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Solution

The fourth proportional to 946.06, 1,417.50 and 713.78 is: 1,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.06 : 1,417.50 = 713.78 : x
  2. Step 2: Convert to fraction form
    946.06/1,417.50 = 713.78/x
  3. Step 3: Cross multiply
    946.06x = 1,417.50 × 713.78
  4. Step 4: Simplify right side
    946.06x = 1,011,783.15
  5. Step 5: Solve for x
    x = 1,011,783.15/946.06
  6. Step 6: Final answer
    x = 1,069.47

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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.