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Finding the Fourth Proportional to 1,598.67, 2,397.02 and 623.63

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Solution

The fourth proportional to 1,598.67, 2,397.02 and 623.63 is: 935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.67 : 2,397.02 = 623.63 : x
  2. Step 2: Convert to fraction form
    1,598.67/2,397.02 = 623.63/x
  3. Step 3: Cross multiply
    1,598.67x = 2,397.02 × 623.63
  4. Step 4: Simplify right side
    1,598.67x = 1,494,838.48
  5. Step 5: Solve for x
    x = 1,494,838.48/1,598.67
  6. Step 6: Final answer
    x = 935.05

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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.