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Finding the Fourth Proportional to 1,039.76, 1,434.89 and 597.77

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Solution

The fourth proportional to 1,039.76, 1,434.89 and 597.77 is: 824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.76 : 1,434.89 = 597.77 : x
  2. Step 2: Convert to fraction form
    1,039.76/1,434.89 = 597.77/x
  3. Step 3: Cross multiply
    1,039.76x = 1,434.89 × 597.77
  4. Step 4: Simplify right side
    1,039.76x = 857,734.20
  5. Step 5: Solve for x
    x = 857,734.20/1,039.76
  6. Step 6: Final answer
    x = 824.93

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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.