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Finding the Fourth Proportional to 1,440.95, 1,988.97 and 942.80

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Solution

The fourth proportional to 1,440.95, 1,988.97 and 942.80 is: 1,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.95 : 1,988.97 = 942.80 : x
  2. Step 2: Convert to fraction form
    1,440.95/1,988.97 = 942.80/x
  3. Step 3: Cross multiply
    1,440.95x = 1,988.97 × 942.80
  4. Step 4: Simplify right side
    1,440.95x = 1,875,200.92
  5. Step 5: Solve for x
    x = 1,875,200.92/1,440.95
  6. Step 6: Final answer
    x = 1,301.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.