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Finding the Fourth Proportional to 895.52, 1,344.36 and 530.72

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Solution

The fourth proportional to 895.52, 1,344.36 and 530.72 is: 796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.52 : 1,344.36 = 530.72 : x
  2. Step 2: Convert to fraction form
    895.52/1,344.36 = 530.72/x
  3. Step 3: Cross multiply
    895.52x = 1,344.36 × 530.72
  4. Step 4: Simplify right side
    895.52x = 713,478.74
  5. Step 5: Solve for x
    x = 713,478.74/895.52
  6. Step 6: Final answer
    x = 796.72

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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.