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Finding the Fourth Proportional to 1,657.19, 2,484.47 and 560.99

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Solution

The fourth proportional to 1,657.19, 2,484.47 and 560.99 is: 841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.19 : 2,484.47 = 560.99 : x
  2. Step 2: Convert to fraction form
    1,657.19/2,484.47 = 560.99/x
  3. Step 3: Cross multiply
    1,657.19x = 2,484.47 × 560.99
  4. Step 4: Simplify right side
    1,657.19x = 1,393,770.44
  5. Step 5: Solve for x
    x = 1,393,770.44/1,657.19
  6. Step 6: Final answer
    x = 841.04

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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.