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Finding the Fourth Proportional to 1,045.86, 1,443.26 and 580.10

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Solution

The fourth proportional to 1,045.86, 1,443.26 and 580.10 is: 800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.86 : 1,443.26 = 580.10 : x
  2. Step 2: Convert to fraction form
    1,045.86/1,443.26 = 580.10/x
  3. Step 3: Cross multiply
    1,045.86x = 1,443.26 × 580.10
  4. Step 4: Simplify right side
    1,045.86x = 837,235.13
  5. Step 5: Solve for x
    x = 837,235.13/1,045.86
  6. Step 6: Final answer
    x = 800.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.