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Finding the Fourth Proportional to 1,039.30, 1,434.07 and 597.13

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Solution

The fourth proportional to 1,039.30, 1,434.07 and 597.13 is: 823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.30 : 1,434.07 = 597.13 : x
  2. Step 2: Convert to fraction form
    1,039.30/1,434.07 = 597.13/x
  3. Step 3: Cross multiply
    1,039.30x = 1,434.07 × 597.13
  4. Step 4: Simplify right side
    1,039.30x = 856,323.38
  5. Step 5: Solve for x
    x = 856,323.38/1,039.30
  6. Step 6: Final answer
    x = 823.94

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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.