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Finding the Fourth Proportional to 1,030.64, 1,545.57 and 414.13

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Solution

The fourth proportional to 1,030.64, 1,545.57 and 414.13 is: 621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.64 : 1,545.57 = 414.13 : x
  2. Step 2: Convert to fraction form
    1,030.64/1,545.57 = 414.13/x
  3. Step 3: Cross multiply
    1,030.64x = 1,545.57 × 414.13
  4. Step 4: Simplify right side
    1,030.64x = 640,072.12
  5. Step 5: Solve for x
    x = 640,072.12/1,030.64
  6. Step 6: Final answer
    x = 621.05

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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.