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Finding the Fourth Proportional to 973.95, 1,459.31 and 684.78

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Solution

The fourth proportional to 973.95, 1,459.31 and 684.78 is: 1,026.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.95 : 1,459.31 = 684.78 : x
  2. Step 2: Convert to fraction form
    973.95/1,459.31 = 684.78/x
  3. Step 3: Cross multiply
    973.95x = 1,459.31 × 684.78
  4. Step 4: Simplify right side
    973.95x = 999,302.88
  5. Step 5: Solve for x
    x = 999,302.88/973.95
  6. Step 6: Final answer
    x = 1,026.03

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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.