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Finding the Fourth Proportional to 1,139.94, 1,708.53 and 522.79

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Solution

The fourth proportional to 1,139.94, 1,708.53 and 522.79 is: 783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.94 : 1,708.53 = 522.79 : x
  2. Step 2: Convert to fraction form
    1,139.94/1,708.53 = 522.79/x
  3. Step 3: Cross multiply
    1,139.94x = 1,708.53 × 522.79
  4. Step 4: Simplify right side
    1,139.94x = 893,196.17
  5. Step 5: Solve for x
    x = 893,196.17/1,139.94
  6. Step 6: Final answer
    x = 783.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.