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Finding the Fourth Proportional to 1,052.84, 1,579.80 and 565.76

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Solution

The fourth proportional to 1,052.84, 1,579.80 and 565.76 is: 848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.84 : 1,579.80 = 565.76 : x
  2. Step 2: Convert to fraction form
    1,052.84/1,579.80 = 565.76/x
  3. Step 3: Cross multiply
    1,052.84x = 1,579.80 × 565.76
  4. Step 4: Simplify right side
    1,052.84x = 893,787.65
  5. Step 5: Solve for x
    x = 893,787.65/1,052.84
  6. Step 6: Final answer
    x = 848.93

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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.