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Finding the Fourth Proportional to 972.82, 1,342.53 and 530.75

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Solution

The fourth proportional to 972.82, 1,342.53 and 530.75 is: 732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.82 : 1,342.53 = 530.75 : x
  2. Step 2: Convert to fraction form
    972.82/1,342.53 = 530.75/x
  3. Step 3: Cross multiply
    972.82x = 1,342.53 × 530.75
  4. Step 4: Simplify right side
    972.82x = 712,541.08
  5. Step 5: Solve for x
    x = 712,541.08/972.82
  6. Step 6: Final answer
    x = 732.45

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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.