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Finding the Fourth Proportional to 1,133.07, 1,563.86 and 661.02

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Solution

The fourth proportional to 1,133.07, 1,563.86 and 661.02 is: 912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.07 : 1,563.86 = 661.02 : x
  2. Step 2: Convert to fraction form
    1,133.07/1,563.86 = 661.02/x
  3. Step 3: Cross multiply
    1,133.07x = 1,563.86 × 661.02
  4. Step 4: Simplify right side
    1,133.07x = 1,033,742.74
  5. Step 5: Solve for x
    x = 1,033,742.74/1,133.07
  6. Step 6: Final answer
    x = 912.34

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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.