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Finding the Fourth Proportional to 1,563.85, 2,157.64 and 900.68

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Solution

The fourth proportional to 1,563.85, 2,157.64 and 900.68 is: 1,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.85 : 2,157.64 = 900.68 : x
  2. Step 2: Convert to fraction form
    1,563.85/2,157.64 = 900.68/x
  3. Step 3: Cross multiply
    1,563.85x = 2,157.64 × 900.68
  4. Step 4: Simplify right side
    1,563.85x = 1,943,346.34
  5. Step 5: Solve for x
    x = 1,943,346.34/1,563.85
  6. Step 6: Final answer
    x = 1,242.67

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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.