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Finding the Fourth Proportional to 894.53, 1,342.10 and 586.53

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Solution

The fourth proportional to 894.53, 1,342.10 and 586.53 is: 880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.53 : 1,342.10 = 586.53 : x
  2. Step 2: Convert to fraction form
    894.53/1,342.10 = 586.53/x
  3. Step 3: Cross multiply
    894.53x = 1,342.10 × 586.53
  4. Step 4: Simplify right side
    894.53x = 787,178.98
  5. Step 5: Solve for x
    x = 787,178.98/894.53
  6. Step 6: Final answer
    x = 880.00

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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.