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Finding the Fourth Proportional to 973, 1,459.80 and 324.18

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Solution

The fourth proportional to 973, 1,459.80 and 324.18 is: 486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    973 : 1,459.80 = 324.18 : x
  2. Step 2: Convert to fraction form
    973/1,459.80 = 324.18/x
  3. Step 3: Cross multiply
    973x = 1,459.80 × 324.18
  4. Step 4: Simplify right side
    973x = 473,237.96
  5. Step 5: Solve for x
    x = 473,237.96/973
  6. Step 6: Final answer
    x = 486.37

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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.