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Finding the Fourth Proportional to 1,133.96, 1,563.36 and 740.84

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Solution

The fourth proportional to 1,133.96, 1,563.36 and 740.84 is: 1,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.96 : 1,563.36 = 740.84 : x
  2. Step 2: Convert to fraction form
    1,133.96/1,563.36 = 740.84/x
  3. Step 3: Cross multiply
    1,133.96x = 1,563.36 × 740.84
  4. Step 4: Simplify right side
    1,133.96x = 1,158,199.62
  5. Step 5: Solve for x
    x = 1,158,199.62/1,133.96
  6. Step 6: Final answer
    x = 1,021.38

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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.