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Finding the Fourth Proportional to 860.98, 1,291.20 and 313.06

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Solution

The fourth proportional to 860.98, 1,291.20 and 313.06 is: 469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.98 : 1,291.20 = 313.06 : x
  2. Step 2: Convert to fraction form
    860.98/1,291.20 = 313.06/x
  3. Step 3: Cross multiply
    860.98x = 1,291.20 × 313.06
  4. Step 4: Simplify right side
    860.98x = 404,223.07
  5. Step 5: Solve for x
    x = 404,223.07/860.98
  6. Step 6: Final answer
    x = 469.49

Related Problems

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Double scale
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1.5x scale

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.