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Finding the Fourth Proportional to 1,598.74, 2,397.18 and 623.70

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Solution

The fourth proportional to 1,598.74, 2,397.18 and 623.70 is: 935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.74 : 2,397.18 = 623.70 : x
  2. Step 2: Convert to fraction form
    1,598.74/2,397.18 = 623.70/x
  3. Step 3: Cross multiply
    1,598.74x = 2,397.18 × 623.70
  4. Step 4: Simplify right side
    1,598.74x = 1,495,121.17
  5. Step 5: Solve for x
    x = 1,495,121.17/1,598.74
  6. Step 6: Final answer
    x = 935.19

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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.