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Finding the Fourth Proportional to 972.76, 1,342.41 and 530.66

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Solution

The fourth proportional to 972.76, 1,342.41 and 530.66 is: 732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.76 : 1,342.41 = 530.66 : x
  2. Step 2: Convert to fraction form
    972.76/1,342.41 = 530.66/x
  3. Step 3: Cross multiply
    972.76x = 1,342.41 × 530.66
  4. Step 4: Simplify right side
    972.76x = 712,366.21
  5. Step 5: Solve for x
    x = 712,366.21/972.76
  6. Step 6: Final answer
    x = 732.31

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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.