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Finding the Fourth Proportional to 1,054.84, 1,580.88 and 566.84

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Solution

The fourth proportional to 1,054.84, 1,580.88 and 566.84 is: 849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.84 : 1,580.88 = 566.84 : x
  2. Step 2: Convert to fraction form
    1,054.84/1,580.88 = 566.84/x
  3. Step 3: Cross multiply
    1,054.84x = 1,580.88 × 566.84
  4. Step 4: Simplify right side
    1,054.84x = 896,106.02
  5. Step 5: Solve for x
    x = 896,106.02/1,054.84
  6. Step 6: Final answer
    x = 849.52

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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.