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Finding the Fourth Proportional to 1,574.84, 2,363.34 and 709.64

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Solution

The fourth proportional to 1,574.84, 2,363.34 and 709.64 is: 1,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.84 : 2,363.34 = 709.64 : x
  2. Step 2: Convert to fraction form
    1,574.84/2,363.34 = 709.64/x
  3. Step 3: Cross multiply
    1,574.84x = 2,363.34 × 709.64
  4. Step 4: Simplify right side
    1,574.84x = 1,677,120.60
  5. Step 5: Solve for x
    x = 1,677,120.60/1,574.84
  6. Step 6: Final answer
    x = 1,064.95

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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.