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Finding the Fourth Proportional to 1,157.02, 1,735.53 and 508.21

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Solution

The fourth proportional to 1,157.02, 1,735.53 and 508.21 is: 762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.02 : 1,735.53 = 508.21 : x
  2. Step 2: Convert to fraction form
    1,157.02/1,735.53 = 508.21/x
  3. Step 3: Cross multiply
    1,157.02x = 1,735.53 × 508.21
  4. Step 4: Simplify right side
    1,157.02x = 882,013.70
  5. Step 5: Solve for x
    x = 882,013.70/1,157.02
  6. Step 6: Final answer
    x = 762.32

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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.