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Finding the Fourth Proportional to 1,353.60, 1,868.33 and 856.40

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Solution

The fourth proportional to 1,353.60, 1,868.33 and 856.40 is: 1,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.60 : 1,868.33 = 856.40 : x
  2. Step 2: Convert to fraction form
    1,353.60/1,868.33 = 856.40/x
  3. Step 3: Cross multiply
    1,353.60x = 1,868.33 × 856.40
  4. Step 4: Simplify right side
    1,353.60x = 1,600,030.61
  5. Step 5: Solve for x
    x = 1,600,030.61/1,353.60
  6. Step 6: Final answer
    x = 1,182.06

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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.