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Finding the Fourth Proportional to 1,298.08, 1,790.88 and 856.16

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Solution

The fourth proportional to 1,298.08, 1,790.88 and 856.16 is: 1,181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.08 : 1,790.88 = 856.16 : x
  2. Step 2: Convert to fraction form
    1,298.08/1,790.88 = 856.16/x
  3. Step 3: Cross multiply
    1,298.08x = 1,790.88 × 856.16
  4. Step 4: Simplify right side
    1,298.08x = 1,533,279.82
  5. Step 5: Solve for x
    x = 1,533,279.82/1,298.08
  6. Step 6: Final answer
    x = 1,181.19

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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.