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Finding the Fourth Proportional to 973.96, 1,459.66 and 396.52

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Solution

The fourth proportional to 973.96, 1,459.66 and 396.52 is: 594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.96 : 1,459.66 = 396.52 : x
  2. Step 2: Convert to fraction form
    973.96/1,459.66 = 396.52/x
  3. Step 3: Cross multiply
    973.96x = 1,459.66 × 396.52
  4. Step 4: Simplify right side
    973.96x = 578,784.38
  5. Step 5: Solve for x
    x = 578,784.38/973.96
  6. Step 6: Final answer
    x = 594.26

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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.