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Finding the Fourth Proportional to 698, 1,047.45 and 313.25

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Solution

The fourth proportional to 698, 1,047.45 and 313.25 is: 470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698 : 1,047.45 = 313.25 : x
  2. Step 2: Convert to fraction form
    698/1,047.45 = 313.25/x
  3. Step 3: Cross multiply
    698x = 1,047.45 × 313.25
  4. Step 4: Simplify right side
    698x = 328,113.71
  5. Step 5: Solve for x
    x = 328,113.71/698
  6. Step 6: Final answer
    x = 470.08

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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.