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Finding the Fourth Proportional to 973.53, 1,456.68 and 583.74

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Solution

The fourth proportional to 973.53, 1,456.68 and 583.74 is: 873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.53 : 1,456.68 = 583.74 : x
  2. Step 2: Convert to fraction form
    973.53/1,456.68 = 583.74/x
  3. Step 3: Cross multiply
    973.53x = 1,456.68 × 583.74
  4. Step 4: Simplify right side
    973.53x = 850,322.38
  5. Step 5: Solve for x
    x = 850,322.38/973.53
  6. Step 6: Final answer
    x = 873.44

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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.