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Finding the Fourth Proportional to 1,127.80, 1,555.36 and 708.19

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Solution

The fourth proportional to 1,127.80, 1,555.36 and 708.19 is: 976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.80 : 1,555.36 = 708.19 : x
  2. Step 2: Convert to fraction form
    1,127.80/1,555.36 = 708.19/x
  3. Step 3: Cross multiply
    1,127.80x = 1,555.36 × 708.19
  4. Step 4: Simplify right side
    1,127.80x = 1,101,496.23
  5. Step 5: Solve for x
    x = 1,101,496.23/1,127.80
  6. Step 6: Final answer
    x = 976.67

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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.