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Finding the Fourth Proportional to 1,153.68, 1,592.84 and 712.23

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Solution

The fourth proportional to 1,153.68, 1,592.84 and 712.23 is: 983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.68 : 1,592.84 = 712.23 : x
  2. Step 2: Convert to fraction form
    1,153.68/1,592.84 = 712.23/x
  3. Step 3: Cross multiply
    1,153.68x = 1,592.84 × 712.23
  4. Step 4: Simplify right side
    1,153.68x = 1,134,470.21
  5. Step 5: Solve for x
    x = 1,134,470.21/1,153.68
  6. Step 6: Final answer
    x = 983.35

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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.