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Finding the Fourth Proportional to 1,663.16, 2,495.08 and 567.50

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Solution

The fourth proportional to 1,663.16, 2,495.08 and 567.50 is: 851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.16 : 2,495.08 = 567.50 : x
  2. Step 2: Convert to fraction form
    1,663.16/2,495.08 = 567.50/x
  3. Step 3: Cross multiply
    1,663.16x = 2,495.08 × 567.50
  4. Step 4: Simplify right side
    1,663.16x = 1,415,957.90
  5. Step 5: Solve for x
    x = 1,415,957.90/1,663.16
  6. Step 6: Final answer
    x = 851.37

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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.