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Finding the Fourth Proportional to 1,132.94, 1,564.00 and 713.49

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Solution

The fourth proportional to 1,132.94, 1,564.00 and 713.49 is: 984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.94 : 1,564.00 = 713.49 : x
  2. Step 2: Convert to fraction form
    1,132.94/1,564.00 = 713.49/x
  3. Step 3: Cross multiply
    1,132.94x = 1,564.00 × 713.49
  4. Step 4: Simplify right side
    1,132.94x = 1,115,894.79
  5. Step 5: Solve for x
    x = 1,115,894.79/1,132.94
  6. Step 6: Final answer
    x = 984.96

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1.5x scale

Why These Related Problems?

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