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Finding the Fourth Proportional to 1,807.23, 2,710.85 and 508.71

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Solution

The fourth proportional to 1,807.23, 2,710.85 and 508.71 is: 763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.23 : 2,710.85 = 508.71 : x
  2. Step 2: Convert to fraction form
    1,807.23/2,710.85 = 508.71/x
  3. Step 3: Cross multiply
    1,807.23x = 2,710.85 × 508.71
  4. Step 4: Simplify right side
    1,807.23x = 1,379,036.50
  5. Step 5: Solve for x
    x = 1,379,036.50/1,807.23
  6. Step 6: Final answer
    x = 763.07

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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.