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Finding the Fourth Proportional to 907.63, 1,252.64 and 514.58

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Solution

The fourth proportional to 907.63, 1,252.64 and 514.58 is: 710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.63 : 1,252.64 = 514.58 : x
  2. Step 2: Convert to fraction form
    907.63/1,252.64 = 514.58/x
  3. Step 3: Cross multiply
    907.63x = 1,252.64 × 514.58
  4. Step 4: Simplify right side
    907.63x = 644,583.49
  5. Step 5: Solve for x
    x = 644,583.49/907.63
  6. Step 6: Final answer
    x = 710.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.