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Finding the Fourth Proportional to 1,709.46, 2,564.10 and 555.12

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Solution

The fourth proportional to 1,709.46, 2,564.10 and 555.12 is: 832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.46 : 2,564.10 = 555.12 : x
  2. Step 2: Convert to fraction form
    1,709.46/2,564.10 = 555.12/x
  3. Step 3: Cross multiply
    1,709.46x = 2,564.10 × 555.12
  4. Step 4: Simplify right side
    1,709.46x = 1,423,383.19
  5. Step 5: Solve for x
    x = 1,423,383.19/1,709.46
  6. Step 6: Final answer
    x = 832.65

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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.