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Finding the Fourth Proportional to 1,535.77, 2,302.23 and 561.65

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Solution

The fourth proportional to 1,535.77, 2,302.23 and 561.65 is: 841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.77 : 2,302.23 = 561.65 : x
  2. Step 2: Convert to fraction form
    1,535.77/2,302.23 = 561.65/x
  3. Step 3: Cross multiply
    1,535.77x = 2,302.23 × 561.65
  4. Step 4: Simplify right side
    1,535.77x = 1,293,047.48
  5. Step 5: Solve for x
    x = 1,293,047.48/1,535.77
  6. Step 6: Final answer
    x = 841.95

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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.