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Finding the Fourth Proportional to 973.84, 1,461.08 and 583.78

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Solution

The fourth proportional to 973.84, 1,461.08 and 583.78 is: 875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.84 : 1,461.08 = 583.78 : x
  2. Step 2: Convert to fraction form
    973.84/1,461.08 = 583.78/x
  3. Step 3: Cross multiply
    973.84x = 1,461.08 × 583.78
  4. Step 4: Simplify right side
    973.84x = 852,949.28
  5. Step 5: Solve for x
    x = 852,949.28/973.84
  6. Step 6: Final answer
    x = 875.86

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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.