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Finding the Fourth Proportional to 1,186.99, 1,638.22 and 856.51

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Solution

The fourth proportional to 1,186.99, 1,638.22 and 856.51 is: 1,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.99 : 1,638.22 = 856.51 : x
  2. Step 2: Convert to fraction form
    1,186.99/1,638.22 = 856.51/x
  3. Step 3: Cross multiply
    1,186.99x = 1,638.22 × 856.51
  4. Step 4: Simplify right side
    1,186.99x = 1,403,151.81
  5. Step 5: Solve for x
    x = 1,403,151.81/1,186.99
  6. Step 6: Final answer
    x = 1,182.11

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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.