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Finding the Fourth Proportional to 913, 1,259.88 and 514.64

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Solution

The fourth proportional to 913, 1,259.88 and 514.64 is: 710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    913 : 1,259.88 = 514.64 : x
  2. Step 2: Convert to fraction form
    913/1,259.88 = 514.64/x
  3. Step 3: Cross multiply
    913x = 1,259.88 × 514.64
  4. Step 4: Simplify right side
    913x = 648,384.64
  5. Step 5: Solve for x
    x = 648,384.64/913
  6. Step 6: Final answer
    x = 710.17

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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.