Home / 1,311.02-1,966.51-337.12

Finding the Fourth Proportional to 1,311.02, 1,966.51 and 337.12

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Solution

The fourth proportional to 1,311.02, 1,966.51 and 337.12 is: 505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.02 : 1,966.51 = 337.12 : x
  2. Step 2: Convert to fraction form
    1,311.02/1,966.51 = 337.12/x
  3. Step 3: Cross multiply
    1,311.02x = 1,966.51 × 337.12
  4. Step 4: Simplify right side
    1,311.02x = 662,949.85
  5. Step 5: Solve for x
    x = 662,949.85/1,311.02
  6. Step 6: Final answer
    x = 505.67

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Half scale
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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.