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Finding the Fourth Proportional to 1,038.48, 1,432.94 and 618.83

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Solution

The fourth proportional to 1,038.48, 1,432.94 and 618.83 is: 853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.48 : 1,432.94 = 618.83 : x
  2. Step 2: Convert to fraction form
    1,038.48/1,432.94 = 618.83/x
  3. Step 3: Cross multiply
    1,038.48x = 1,432.94 × 618.83
  4. Step 4: Simplify right side
    1,038.48x = 886,746.26
  5. Step 5: Solve for x
    x = 886,746.26/1,038.48
  6. Step 6: Final answer
    x = 853.89

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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.