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Finding the Fourth Proportional to 913.04, 1,259.93 and 514.76

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Solution

The fourth proportional to 913.04, 1,259.93 and 514.76 is: 710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.04 : 1,259.93 = 514.76 : x
  2. Step 2: Convert to fraction form
    913.04/1,259.93 = 514.76/x
  3. Step 3: Cross multiply
    913.04x = 1,259.93 × 514.76
  4. Step 4: Simplify right side
    913.04x = 648,552.69
  5. Step 5: Solve for x
    x = 648,552.69/913.04
  6. Step 6: Final answer
    x = 710.33

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