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Finding the Fourth Proportional to 1,089.86, 1,503.90 and 617.67

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Solution

The fourth proportional to 1,089.86, 1,503.90 and 617.67 is: 852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.86 : 1,503.90 = 617.67 : x
  2. Step 2: Convert to fraction form
    1,089.86/1,503.90 = 617.67/x
  3. Step 3: Cross multiply
    1,089.86x = 1,503.90 × 617.67
  4. Step 4: Simplify right side
    1,089.86x = 928,907.94
  5. Step 5: Solve for x
    x = 928,907.94/1,089.86
  6. Step 6: Final answer
    x = 852.32

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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.