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Finding the Fourth Proportional to 973.99, 1,460.94 and 243.57

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Solution

The fourth proportional to 973.99, 1,460.94 and 243.57 is: 365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.99 : 1,460.94 = 243.57 : x
  2. Step 2: Convert to fraction form
    973.99/1,460.94 = 243.57/x
  3. Step 3: Cross multiply
    973.99x = 1,460.94 × 243.57
  4. Step 4: Simplify right side
    973.99x = 355,841.16
  5. Step 5: Solve for x
    x = 355,841.16/973.99
  6. Step 6: Final answer
    x = 365.34

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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.