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Finding the Fourth Proportional to 972.34, 1,341.78 and 530.22

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Solution

The fourth proportional to 972.34, 1,341.78 and 530.22 is: 731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.34 : 1,341.78 = 530.22 : x
  2. Step 2: Convert to fraction form
    972.34/1,341.78 = 530.22/x
  3. Step 3: Cross multiply
    972.34x = 1,341.78 × 530.22
  4. Step 4: Simplify right side
    972.34x = 711,438.59
  5. Step 5: Solve for x
    x = 711,438.59/972.34
  6. Step 6: Final answer
    x = 731.68

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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.