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Finding the Fourth Proportional to 1,094.63, 1,642.14 and 517.50

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Solution

The fourth proportional to 1,094.63, 1,642.14 and 517.50 is: 776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.63 : 1,642.14 = 517.50 : x
  2. Step 2: Convert to fraction form
    1,094.63/1,642.14 = 517.50/x
  3. Step 3: Cross multiply
    1,094.63x = 1,642.14 × 517.50
  4. Step 4: Simplify right side
    1,094.63x = 849,807.45
  5. Step 5: Solve for x
    x = 849,807.45/1,094.63
  6. Step 6: Final answer
    x = 776.35

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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.