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Finding the Fourth Proportional to 740.10, 1,020.98 and 488.29

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Solution

The fourth proportional to 740.10, 1,020.98 and 488.29 is: 673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.10 : 1,020.98 = 488.29 : x
  2. Step 2: Convert to fraction form
    740.10/1,020.98 = 488.29/x
  3. Step 3: Cross multiply
    740.10x = 1,020.98 × 488.29
  4. Step 4: Simplify right side
    740.10x = 498,534.32
  5. Step 5: Solve for x
    x = 498,534.32/740.10
  6. Step 6: Final answer
    x = 673.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.