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Finding the Fourth Proportional to 898.75, 1,346.00 and 573.13

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Solution

The fourth proportional to 898.75, 1,346.00 and 573.13 is: 858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.75 : 1,346.00 = 573.13 : x
  2. Step 2: Convert to fraction form
    898.75/1,346.00 = 573.13/x
  3. Step 3: Cross multiply
    898.75x = 1,346.00 × 573.13
  4. Step 4: Simplify right side
    898.75x = 771,426.75
  5. Step 5: Solve for x
    x = 771,426.75/898.75
  6. Step 6: Final answer
    x = 858.34

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