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Finding the Fourth Proportional to 965.65, 1,446.45 and 783.40

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Solution

The fourth proportional to 965.65, 1,446.45 and 783.40 is: 1,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.65 : 1,446.45 = 783.40 : x
  2. Step 2: Convert to fraction form
    965.65/1,446.45 = 783.40/x
  3. Step 3: Cross multiply
    965.65x = 1,446.45 × 783.40
  4. Step 4: Simplify right side
    965.65x = 1,133,148.93
  5. Step 5: Solve for x
    x = 1,133,148.93/965.65
  6. Step 6: Final answer
    x = 1,173.46

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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.