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Finding the Fourth Proportional to 972.89, 1,342.60 and 530.80

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Solution

The fourth proportional to 972.89, 1,342.60 and 530.80 is: 732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.89 : 1,342.60 = 530.80 : x
  2. Step 2: Convert to fraction form
    972.89/1,342.60 = 530.80/x
  3. Step 3: Cross multiply
    972.89x = 1,342.60 × 530.80
  4. Step 4: Simplify right side
    972.89x = 712,652.08
  5. Step 5: Solve for x
    x = 712,652.08/972.89
  6. Step 6: Final answer
    x = 732.51

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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.