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Finding the Fourth Proportional to 1,459.65, 2,014.23 and 830.09

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Solution

The fourth proportional to 1,459.65, 2,014.23 and 830.09 is: 1,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.65 : 2,014.23 = 830.09 : x
  2. Step 2: Convert to fraction form
    1,459.65/2,014.23 = 830.09/x
  3. Step 3: Cross multiply
    1,459.65x = 2,014.23 × 830.09
  4. Step 4: Simplify right side
    1,459.65x = 1,671,982.11
  5. Step 5: Solve for x
    x = 1,671,982.11/1,459.65
  6. Step 6: Final answer
    x = 1,145.47

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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.