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Finding the Fourth Proportional to 1,345.44, 1,856.96 and 786.08

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Solution

The fourth proportional to 1,345.44, 1,856.96 and 786.08 is: 1,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.44 : 1,856.96 = 786.08 : x
  2. Step 2: Convert to fraction form
    1,345.44/1,856.96 = 786.08/x
  3. Step 3: Cross multiply
    1,345.44x = 1,856.96 × 786.08
  4. Step 4: Simplify right side
    1,345.44x = 1,459,719.12
  5. Step 5: Solve for x
    x = 1,459,719.12/1,345.44
  6. Step 6: Final answer
    x = 1,084.94

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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.