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Finding the Fourth Proportional to 1,316.57, 1,975.14 and 658.80

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Solution

The fourth proportional to 1,316.57, 1,975.14 and 658.80 is: 988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.57 : 1,975.14 = 658.80 : x
  2. Step 2: Convert to fraction form
    1,316.57/1,975.14 = 658.80/x
  3. Step 3: Cross multiply
    1,316.57x = 1,975.14 × 658.80
  4. Step 4: Simplify right side
    1,316.57x = 1,301,222.23
  5. Step 5: Solve for x
    x = 1,301,222.23/1,316.57
  6. Step 6: Final answer
    x = 988.34

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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.