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Finding the Fourth Proportional to 675.40, 1,013.70 and 459.13

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Solution

The fourth proportional to 675.40, 1,013.70 and 459.13 is: 689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.40 : 1,013.70 = 459.13 : x
  2. Step 2: Convert to fraction form
    675.40/1,013.70 = 459.13/x
  3. Step 3: Cross multiply
    675.40x = 1,013.70 × 459.13
  4. Step 4: Simplify right side
    675.40x = 465,420.08
  5. Step 5: Solve for x
    x = 465,420.08/675.40
  6. Step 6: Final answer
    x = 689.10

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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.