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Finding the Fourth Proportional to 1,023.84, 1,534.95 and 375.03

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Solution

The fourth proportional to 1,023.84, 1,534.95 and 375.03 is: 562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.84 : 1,534.95 = 375.03 : x
  2. Step 2: Convert to fraction form
    1,023.84/1,534.95 = 375.03/x
  3. Step 3: Cross multiply
    1,023.84x = 1,534.95 × 375.03
  4. Step 4: Simplify right side
    1,023.84x = 575,652.30
  5. Step 5: Solve for x
    x = 575,652.30/1,023.84
  6. Step 6: Final answer
    x = 562.25

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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.