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Finding the Fourth Proportional to 973, 1,460.14 and 460.04

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Solution

The fourth proportional to 973, 1,460.14 and 460.04 is: 690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    973 : 1,460.14 = 460.04 : x
  2. Step 2: Convert to fraction form
    973/1,460.14 = 460.04/x
  3. Step 3: Cross multiply
    973x = 1,460.14 × 460.04
  4. Step 4: Simplify right side
    973x = 671,722.81
  5. Step 5: Solve for x
    x = 671,722.81/973
  6. Step 6: Final answer
    x = 690.36

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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.