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Finding the Fourth Proportional to 1,003.68, 1,502.40 and 856.02

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Solution

The fourth proportional to 1,003.68, 1,502.40 and 856.02 is: 1,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.68 : 1,502.40 = 856.02 : x
  2. Step 2: Convert to fraction form
    1,003.68/1,502.40 = 856.02/x
  3. Step 3: Cross multiply
    1,003.68x = 1,502.40 × 856.02
  4. Step 4: Simplify right side
    1,003.68x = 1,286,084.45
  5. Step 5: Solve for x
    x = 1,286,084.45/1,003.68
  6. Step 6: Final answer
    x = 1,281.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.