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Finding the Fourth Proportional to 895.28, 1,342.20 and 530

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Solution

The fourth proportional to 895.28, 1,342.20 and 530 is: 794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.28 : 1,342.20 = 530 : x
  2. Step 2: Convert to fraction form
    895.28/1,342.20 = 530/x
  3. Step 3: Cross multiply
    895.28x = 1,342.20 × 530
  4. Step 4: Simplify right side
    895.28x = 711,366
  5. Step 5: Solve for x
    x = 711,366/895.28
  6. Step 6: Final answer
    x = 794.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.