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Finding the Fourth Proportional to 856.64, 1,180.53 and 590.60

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Solution

The fourth proportional to 856.64, 1,180.53 and 590.60 is: 813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.64 : 1,180.53 = 590.60 : x
  2. Step 2: Convert to fraction form
    856.64/1,180.53 = 590.60/x
  3. Step 3: Cross multiply
    856.64x = 1,180.53 × 590.60
  4. Step 4: Simplify right side
    856.64x = 697,221.02
  5. Step 5: Solve for x
    x = 697,221.02/856.64
  6. Step 6: Final answer
    x = 813.90

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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.