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Finding the Fourth Proportional to 1,709.48, 2,564.38 and 613.96

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Solution

The fourth proportional to 1,709.48, 2,564.38 and 613.96 is: 921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.48 : 2,564.38 = 613.96 : x
  2. Step 2: Convert to fraction form
    1,709.48/2,564.38 = 613.96/x
  3. Step 3: Cross multiply
    1,709.48x = 2,564.38 × 613.96
  4. Step 4: Simplify right side
    1,709.48x = 1,574,426.74
  5. Step 5: Solve for x
    x = 1,574,426.74/1,709.48
  6. Step 6: Final answer
    x = 921.00

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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.