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Finding the Fourth Proportional to 973.04, 1,460.01 and 486.41

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Solution

The fourth proportional to 973.04, 1,460.01 and 486.41 is: 729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.04 : 1,460.01 = 486.41 : x
  2. Step 2: Convert to fraction form
    973.04/1,460.01 = 486.41/x
  3. Step 3: Cross multiply
    973.04x = 1,460.01 × 486.41
  4. Step 4: Simplify right side
    973.04x = 710,156.16
  5. Step 5: Solve for x
    x = 710,156.16/973.04
  6. Step 6: Final answer
    x = 729.84

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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.