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Finding the Fourth Proportional to 752.96, 1,130.36 and 358.01

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Solution

The fourth proportional to 752.96, 1,130.36 and 358.01 is: 537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.96 : 1,130.36 = 358.01 : x
  2. Step 2: Convert to fraction form
    752.96/1,130.36 = 358.01/x
  3. Step 3: Cross multiply
    752.96x = 1,130.36 × 358.01
  4. Step 4: Simplify right side
    752.96x = 404,681.22
  5. Step 5: Solve for x
    x = 404,681.22/752.96
  6. Step 6: Final answer
    x = 537.46

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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.