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Finding the Fourth Proportional to 1,710.43, 2,564.15 and 599.67

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Solution

The fourth proportional to 1,710.43, 2,564.15 and 599.67 is: 898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.43 : 2,564.15 = 599.67 : x
  2. Step 2: Convert to fraction form
    1,710.43/2,564.15 = 599.67/x
  3. Step 3: Cross multiply
    1,710.43x = 2,564.15 × 599.67
  4. Step 4: Simplify right side
    1,710.43x = 1,537,644.21
  5. Step 5: Solve for x
    x = 1,537,644.21/1,710.43
  6. Step 6: Final answer
    x = 898.98

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Why These Related Problems?

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