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Finding the Fourth Proportional to 1,503.46, 2,253.15 and 771.50

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Solution

The fourth proportional to 1,503.46, 2,253.15 and 771.50 is: 1,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.46 : 2,253.15 = 771.50 : x
  2. Step 2: Convert to fraction form
    1,503.46/2,253.15 = 771.50/x
  3. Step 3: Cross multiply
    1,503.46x = 2,253.15 × 771.50
  4. Step 4: Simplify right side
    1,503.46x = 1,738,305.23
  5. Step 5: Solve for x
    x = 1,738,305.23/1,503.46
  6. Step 6: Final answer
    x = 1,156.20

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Double scale
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1.5x scale

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.