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Finding the Fourth Proportional to 1,705.29, 2,353.33 and 997.19

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Solution

The fourth proportional to 1,705.29, 2,353.33 and 997.19 is: 1,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.29 : 2,353.33 = 997.19 : x
  2. Step 2: Convert to fraction form
    1,705.29/2,353.33 = 997.19/x
  3. Step 3: Cross multiply
    1,705.29x = 2,353.33 × 997.19
  4. Step 4: Simplify right side
    1,705.29x = 2,346,712.16
  5. Step 5: Solve for x
    x = 2,346,712.16/1,705.29
  6. Step 6: Final answer
    x = 1,376.14

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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.