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Finding the Fourth Proportional to 1,459.42, 2,014.11 and 838.42

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Solution

The fourth proportional to 1,459.42, 2,014.11 and 838.42 is: 1,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.42 : 2,014.11 = 838.42 : x
  2. Step 2: Convert to fraction form
    1,459.42/2,014.11 = 838.42/x
  3. Step 3: Cross multiply
    1,459.42x = 2,014.11 × 838.42
  4. Step 4: Simplify right side
    1,459.42x = 1,688,670.11
  5. Step 5: Solve for x
    x = 1,688,670.11/1,459.42
  6. Step 6: Final answer
    x = 1,157.08

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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.