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Finding the Fourth Proportional to 1,316.75, 1,975.12 and 342.84

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Solution

The fourth proportional to 1,316.75, 1,975.12 and 342.84 is: 514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.75 : 1,975.12 = 342.84 : x
  2. Step 2: Convert to fraction form
    1,316.75/1,975.12 = 342.84/x
  3. Step 3: Cross multiply
    1,316.75x = 1,975.12 × 342.84
  4. Step 4: Simplify right side
    1,316.75x = 677,156.69
  5. Step 5: Solve for x
    x = 677,156.69/1,316.75
  6. Step 6: Final answer
    x = 514.27

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1.5x scale

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.