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Finding the Fourth Proportional to 1,380.32, 1,904.08 and 856.24

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Solution

The fourth proportional to 1,380.32, 1,904.08 and 856.24 is: 1,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.32 : 1,904.08 = 856.24 : x
  2. Step 2: Convert to fraction form
    1,380.32/1,904.08 = 856.24/x
  3. Step 3: Cross multiply
    1,380.32x = 1,904.08 × 856.24
  4. Step 4: Simplify right side
    1,380.32x = 1,630,349.46
  5. Step 5: Solve for x
    x = 1,630,349.46/1,380.32
  6. Step 6: Final answer
    x = 1,181.14

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Double scale
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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.