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Finding the Fourth Proportional to 1,044.03, 1,566.07 and 410.93

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Solution

The fourth proportional to 1,044.03, 1,566.07 and 410.93 is: 616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.03 : 1,566.07 = 410.93 : x
  2. Step 2: Convert to fraction form
    1,044.03/1,566.07 = 410.93/x
  3. Step 3: Cross multiply
    1,044.03x = 1,566.07 × 410.93
  4. Step 4: Simplify right side
    1,044.03x = 643,545.15
  5. Step 5: Solve for x
    x = 643,545.15/1,044.03
  6. Step 6: Final answer
    x = 616.40

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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.