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Finding the Fourth Proportional to 973.08, 1,459.80 and 946.35

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Solution

The fourth proportional to 973.08, 1,459.80 and 946.35 is: 1,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.08 : 1,459.80 = 946.35 : x
  2. Step 2: Convert to fraction form
    973.08/1,459.80 = 946.35/x
  3. Step 3: Cross multiply
    973.08x = 1,459.80 × 946.35
  4. Step 4: Simplify right side
    973.08x = 1,381,481.73
  5. Step 5: Solve for x
    x = 1,381,481.73/973.08
  6. Step 6: Final answer
    x = 1,419.70

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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.