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Finding the Fourth Proportional to 1,045.90, 1,567.05 and 558.46

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Solution

The fourth proportional to 1,045.90, 1,567.05 and 558.46 is: 836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.90 : 1,567.05 = 558.46 : x
  2. Step 2: Convert to fraction form
    1,045.90/1,567.05 = 558.46/x
  3. Step 3: Cross multiply
    1,045.90x = 1,567.05 × 558.46
  4. Step 4: Simplify right side
    1,045.90x = 875,134.74
  5. Step 5: Solve for x
    x = 875,134.74/1,045.90
  6. Step 6: Final answer
    x = 836.73

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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.