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Finding the Fourth Proportional to 1,534, 2,301.36 and 508

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Solution

The fourth proportional to 1,534, 2,301.36 and 508 is: 762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534 : 2,301.36 = 508 : x
  2. Step 2: Convert to fraction form
    1,534/2,301.36 = 508/x
  3. Step 3: Cross multiply
    1,534x = 2,301.36 × 508
  4. Step 4: Simplify right side
    1,534x = 1,169,090.88
  5. Step 5: Solve for x
    x = 1,169,090.88/1,534
  6. Step 6: Final answer
    x = 762.12

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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.