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Finding the Fourth Proportional to 1,688.70, 2,531.43 and 592.77

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Solution

The fourth proportional to 1,688.70, 2,531.43 and 592.77 is: 888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.70 : 2,531.43 = 592.77 : x
  2. Step 2: Convert to fraction form
    1,688.70/2,531.43 = 592.77/x
  3. Step 3: Cross multiply
    1,688.70x = 2,531.43 × 592.77
  4. Step 4: Simplify right side
    1,688.70x = 1,500,555.76
  5. Step 5: Solve for x
    x = 1,500,555.76/1,688.70
  6. Step 6: Final answer
    x = 888.59

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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.