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Finding the Fourth Proportional to 1,045.05, 1,566.71 and 524.42

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Solution

The fourth proportional to 1,045.05, 1,566.71 and 524.42 is: 786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.05 : 1,566.71 = 524.42 : x
  2. Step 2: Convert to fraction form
    1,045.05/1,566.71 = 524.42/x
  3. Step 3: Cross multiply
    1,045.05x = 1,566.71 × 524.42
  4. Step 4: Simplify right side
    1,045.05x = 821,614.06
  5. Step 5: Solve for x
    x = 821,614.06/1,045.05
  6. Step 6: Final answer
    x = 786.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.