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Finding the Fourth Proportional to 1,039.34, 1,434.41 and 597.24

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Solution

The fourth proportional to 1,039.34, 1,434.41 and 597.24 is: 824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.34 : 1,434.41 = 597.24 : x
  2. Step 2: Convert to fraction form
    1,039.34/1,434.41 = 597.24/x
  3. Step 3: Cross multiply
    1,039.34x = 1,434.41 × 597.24
  4. Step 4: Simplify right side
    1,039.34x = 856,689.64
  5. Step 5: Solve for x
    x = 856,689.64/1,039.34
  6. Step 6: Final answer
    x = 824.26

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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.