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Finding the Fourth Proportional to 1,310.16, 1,807.98 and 720.69

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Solution

The fourth proportional to 1,310.16, 1,807.98 and 720.69 is: 994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.16 : 1,807.98 = 720.69 : x
  2. Step 2: Convert to fraction form
    1,310.16/1,807.98 = 720.69/x
  3. Step 3: Cross multiply
    1,310.16x = 1,807.98 × 720.69
  4. Step 4: Simplify right side
    1,310.16x = 1,302,997.63
  5. Step 5: Solve for x
    x = 1,302,997.63/1,310.16
  6. Step 6: Final answer
    x = 994.53

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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.