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Finding the Fourth Proportional to 1,030.69, 1,545.75 and 290.25

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Solution

The fourth proportional to 1,030.69, 1,545.75 and 290.25 is: 435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.69 : 1,545.75 = 290.25 : x
  2. Step 2: Convert to fraction form
    1,030.69/1,545.75 = 290.25/x
  3. Step 3: Cross multiply
    1,030.69x = 1,545.75 × 290.25
  4. Step 4: Simplify right side
    1,030.69x = 448,653.94
  5. Step 5: Solve for x
    x = 448,653.94/1,030.69
  6. Step 6: Final answer
    x = 435.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.