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Finding the Fourth Proportional to 1,323.42, 1,983.57 and 592.14

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Solution

The fourth proportional to 1,323.42, 1,983.57 and 592.14 is: 887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.42 : 1,983.57 = 592.14 : x
  2. Step 2: Convert to fraction form
    1,323.42/1,983.57 = 592.14/x
  3. Step 3: Cross multiply
    1,323.42x = 1,983.57 × 592.14
  4. Step 4: Simplify right side
    1,323.42x = 1,174,551.14
  5. Step 5: Solve for x
    x = 1,174,551.14/1,323.42
  6. Step 6: Final answer
    x = 887.51

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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.