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Finding the Fourth Proportional to 1,023.30, 1,534.64 and 374.08

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Solution

The fourth proportional to 1,023.30, 1,534.64 and 374.08 is: 561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.30 : 1,534.64 = 374.08 : x
  2. Step 2: Convert to fraction form
    1,023.30/1,534.64 = 374.08/x
  3. Step 3: Cross multiply
    1,023.30x = 1,534.64 × 374.08
  4. Step 4: Simplify right side
    1,023.30x = 574,078.13
  5. Step 5: Solve for x
    x = 574,078.13/1,023.30
  6. Step 6: Final answer
    x = 561.01

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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.