Home / 1,030.23-1,545.44-474.93

Finding the Fourth Proportional to 1,030.23, 1,545.44 and 474.93

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Solution

The fourth proportional to 1,030.23, 1,545.44 and 474.93 is: 712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.23 : 1,545.44 = 474.93 : x
  2. Step 2: Convert to fraction form
    1,030.23/1,545.44 = 474.93/x
  3. Step 3: Cross multiply
    1,030.23x = 1,545.44 × 474.93
  4. Step 4: Simplify right side
    1,030.23x = 733,973.44
  5. Step 5: Solve for x
    x = 733,973.44/1,030.23
  6. Step 6: Final answer
    x = 712.44

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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.