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Finding the Fourth Proportional to 1,710.57, 2,564.82 and 831.34

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Solution

The fourth proportional to 1,710.57, 2,564.82 and 831.34 is: 1,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.57 : 2,564.82 = 831.34 : x
  2. Step 2: Convert to fraction form
    1,710.57/2,564.82 = 831.34/x
  3. Step 3: Cross multiply
    1,710.57x = 2,564.82 × 831.34
  4. Step 4: Simplify right side
    1,710.57x = 2,132,224.63
  5. Step 5: Solve for x
    x = 2,132,224.63/1,710.57
  6. Step 6: Final answer
    x = 1,246.50

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1.5x scale

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.