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Finding the Fourth Proportional to 898.12, 1,346.46 and 573.40

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Solution

The fourth proportional to 898.12, 1,346.46 and 573.40 is: 859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.12 : 1,346.46 = 573.40 : x
  2. Step 2: Convert to fraction form
    898.12/1,346.46 = 573.40/x
  3. Step 3: Cross multiply
    898.12x = 1,346.46 × 573.40
  4. Step 4: Simplify right side
    898.12x = 772,060.16
  5. Step 5: Solve for x
    x = 772,060.16/898.12
  6. Step 6: Final answer
    x = 859.64

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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.