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Finding the Fourth Proportional to 973.06, 1,342.83 and 530.97

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Solution

The fourth proportional to 973.06, 1,342.83 and 530.97 is: 732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.06 : 1,342.83 = 530.97 : x
  2. Step 2: Convert to fraction form
    973.06/1,342.83 = 530.97/x
  3. Step 3: Cross multiply
    973.06x = 1,342.83 × 530.97
  4. Step 4: Simplify right side
    973.06x = 713,002.45
  5. Step 5: Solve for x
    x = 713,002.45/973.06
  6. Step 6: Final answer
    x = 732.74

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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.