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Finding the Fourth Proportional to 1,030.01, 1,545.40 and 619.43

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Solution

The fourth proportional to 1,030.01, 1,545.40 and 619.43 is: 929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.01 : 1,545.40 = 619.43 : x
  2. Step 2: Convert to fraction form
    1,030.01/1,545.40 = 619.43/x
  3. Step 3: Cross multiply
    1,030.01x = 1,545.40 × 619.43
  4. Step 4: Simplify right side
    1,030.01x = 957,271.76
  5. Step 5: Solve for x
    x = 957,271.76/1,030.01
  6. Step 6: Final answer
    x = 929.39

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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.