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Finding the Fourth Proportional to 1,038.42, 1,557.72 and 421.92

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Solution

The fourth proportional to 1,038.42, 1,557.72 and 421.92 is: 632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.42 : 1,557.72 = 421.92 : x
  2. Step 2: Convert to fraction form
    1,038.42/1,557.72 = 421.92/x
  3. Step 3: Cross multiply
    1,038.42x = 1,557.72 × 421.92
  4. Step 4: Simplify right side
    1,038.42x = 657,233.22
  5. Step 5: Solve for x
    x = 657,233.22/1,038.42
  6. Step 6: Final answer
    x = 632.92

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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.