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Finding the Fourth Proportional to 1,597.94, 2,397.04 and 624.04

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Solution

The fourth proportional to 1,597.94, 2,397.04 and 624.04 is: 936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.94 : 2,397.04 = 624.04 : x
  2. Step 2: Convert to fraction form
    1,597.94/2,397.04 = 624.04/x
  3. Step 3: Cross multiply
    1,597.94x = 2,397.04 × 624.04
  4. Step 4: Simplify right side
    1,597.94x = 1,495,848.84
  5. Step 5: Solve for x
    x = 1,495,848.84/1,597.94
  6. Step 6: Final answer
    x = 936.11

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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.