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Finding the Fourth Proportional to 1,013.65, 1,521.03 and 465.83

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Solution

The fourth proportional to 1,013.65, 1,521.03 and 465.83 is: 699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.65 : 1,521.03 = 465.83 : x
  2. Step 2: Convert to fraction form
    1,013.65/1,521.03 = 465.83/x
  3. Step 3: Cross multiply
    1,013.65x = 1,521.03 × 465.83
  4. Step 4: Simplify right side
    1,013.65x = 708,541.25
  5. Step 5: Solve for x
    x = 708,541.25/1,013.65
  6. Step 6: Final answer
    x = 699.00

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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.