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Finding the Fourth Proportional to 973.84, 1,344.64 and 601.34

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Solution

The fourth proportional to 973.84, 1,344.64 and 601.34 is: 830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.84 : 1,344.64 = 601.34 : x
  2. Step 2: Convert to fraction form
    973.84/1,344.64 = 601.34/x
  3. Step 3: Cross multiply
    973.84x = 1,344.64 × 601.34
  4. Step 4: Simplify right side
    973.84x = 808,585.82
  5. Step 5: Solve for x
    x = 808,585.82/973.84
  6. Step 6: Final answer
    x = 830.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.