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Finding the Fourth Proportional to 1,030.40, 1,539.76 and 742.40

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Solution

The fourth proportional to 1,030.40, 1,539.76 and 742.40 is: 1,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.40 : 1,539.76 = 742.40 : x
  2. Step 2: Convert to fraction form
    1,030.40/1,539.76 = 742.40/x
  3. Step 3: Cross multiply
    1,030.40x = 1,539.76 × 742.40
  4. Step 4: Simplify right side
    1,030.40x = 1,143,117.82
  5. Step 5: Solve for x
    x = 1,143,117.82/1,030.40
  6. Step 6: Final answer
    x = 1,109.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.