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Finding the Fourth Proportional to 1,203.99, 1,661.57 and 706.77

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Solution

The fourth proportional to 1,203.99, 1,661.57 and 706.77 is: 975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.99 : 1,661.57 = 706.77 : x
  2. Step 2: Convert to fraction form
    1,203.99/1,661.57 = 706.77/x
  3. Step 3: Cross multiply
    1,203.99x = 1,661.57 × 706.77
  4. Step 4: Simplify right side
    1,203.99x = 1,174,346.95
  5. Step 5: Solve for x
    x = 1,174,346.95/1,203.99
  6. Step 6: Final answer
    x = 975.38

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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.