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Finding the Fourth Proportional to 1,501.76, 2,254 and 771.84

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Solution

The fourth proportional to 1,501.76, 2,254 and 771.84 is: 1,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.76 : 2,254 = 771.84 : x
  2. Step 2: Convert to fraction form
    1,501.76/2,254 = 771.84/x
  3. Step 3: Cross multiply
    1,501.76x = 2,254 × 771.84
  4. Step 4: Simplify right side
    1,501.76x = 1,739,727.36
  5. Step 5: Solve for x
    x = 1,739,727.36/1,501.76
  6. Step 6: Final answer
    x = 1,158.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.