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Finding the Fourth Proportional to 1,047.32, 1,445.36 and 593.12

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Solution

The fourth proportional to 1,047.32, 1,445.36 and 593.12 is: 818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.32 : 1,445.36 = 593.12 : x
  2. Step 2: Convert to fraction form
    1,047.32/1,445.36 = 593.12/x
  3. Step 3: Cross multiply
    1,047.32x = 1,445.36 × 593.12
  4. Step 4: Simplify right side
    1,047.32x = 857,271.92
  5. Step 5: Solve for x
    x = 857,271.92/1,047.32
  6. Step 6: Final answer
    x = 818.54

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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.