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Finding the Fourth Proportional to 1,045.33, 1,567.67 and 558.13

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Solution

The fourth proportional to 1,045.33, 1,567.67 and 558.13 is: 837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.33 : 1,567.67 = 558.13 : x
  2. Step 2: Convert to fraction form
    1,045.33/1,567.67 = 558.13/x
  3. Step 3: Cross multiply
    1,045.33x = 1,567.67 × 558.13
  4. Step 4: Simplify right side
    1,045.33x = 874,960.87
  5. Step 5: Solve for x
    x = 874,960.87/1,045.33
  6. Step 6: Final answer
    x = 837.02

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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.