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Finding the Fourth Proportional to 973.01, 1,460.03 and 557.48

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Solution

The fourth proportional to 973.01, 1,460.03 and 557.48 is: 836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.01 : 1,460.03 = 557.48 : x
  2. Step 2: Convert to fraction form
    973.01/1,460.03 = 557.48/x
  3. Step 3: Cross multiply
    973.01x = 1,460.03 × 557.48
  4. Step 4: Simplify right side
    973.01x = 813,938.39
  5. Step 5: Solve for x
    x = 813,938.39/973.01
  6. Step 6: Final answer
    x = 836.51

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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.