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Finding the Fourth Proportional to 1,039.46, 1,434.59 and 597.50

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Solution

The fourth proportional to 1,039.46, 1,434.59 and 597.50 is: 824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.46 : 1,434.59 = 597.50 : x
  2. Step 2: Convert to fraction form
    1,039.46/1,434.59 = 597.50/x
  3. Step 3: Cross multiply
    1,039.46x = 1,434.59 × 597.50
  4. Step 4: Simplify right side
    1,039.46x = 857,167.53
  5. Step 5: Solve for x
    x = 857,167.53/1,039.46
  6. Step 6: Final answer
    x = 824.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.