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Finding the Fourth Proportional to 895.56, 1,343.36 and 510

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Solution

The fourth proportional to 895.56, 1,343.36 and 510 is: 765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.56 : 1,343.36 = 510 : x
  2. Step 2: Convert to fraction form
    895.56/1,343.36 = 510/x
  3. Step 3: Cross multiply
    895.56x = 1,343.36 × 510
  4. Step 4: Simplify right side
    895.56x = 685,113.60
  5. Step 5: Solve for x
    x = 685,113.60/895.56
  6. Step 6: Final answer
    x = 765.01

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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.