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Finding the Fourth Proportional to 1,457.60, 2,185.76 and 532.86

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Solution

The fourth proportional to 1,457.60, 2,185.76 and 532.86 is: 799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.60 : 2,185.76 = 532.86 : x
  2. Step 2: Convert to fraction form
    1,457.60/2,185.76 = 532.86/x
  3. Step 3: Cross multiply
    1,457.60x = 2,185.76 × 532.86
  4. Step 4: Simplify right side
    1,457.60x = 1,164,704.07
  5. Step 5: Solve for x
    x = 1,164,704.07/1,457.60
  6. Step 6: Final answer
    x = 799.06

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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.