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Finding the Fourth Proportional to 1,041.93, 1,428.47 and 1,023.50

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Solution

The fourth proportional to 1,041.93, 1,428.47 and 1,023.50 is: 1,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.93 : 1,428.47 = 1,023.50 : x
  2. Step 2: Convert to fraction form
    1,041.93/1,428.47 = 1,023.50/x
  3. Step 3: Cross multiply
    1,041.93x = 1,428.47 × 1,023.50
  4. Step 4: Simplify right side
    1,041.93x = 1,462,041.34
  5. Step 5: Solve for x
    x = 1,462,041.34/1,041.93
  6. Step 6: Final answer
    x = 1,403.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.