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Finding the Fourth Proportional to 1,038.03, 1,557.05 and 421.57

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Solution

The fourth proportional to 1,038.03, 1,557.05 and 421.57 is: 632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.03 : 1,557.05 = 421.57 : x
  2. Step 2: Convert to fraction form
    1,038.03/1,557.05 = 421.57/x
  3. Step 3: Cross multiply
    1,038.03x = 1,557.05 × 421.57
  4. Step 4: Simplify right side
    1,038.03x = 656,405.41
  5. Step 5: Solve for x
    x = 656,405.41/1,038.03
  6. Step 6: Final answer
    x = 632.36

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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.