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Finding the Fourth Proportional to 1,038.13, 1,557.16 and 421.67

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Solution

The fourth proportional to 1,038.13, 1,557.16 and 421.67 is: 632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.13 : 1,557.16 = 421.67 : x
  2. Step 2: Convert to fraction form
    1,038.13/1,557.16 = 421.67/x
  3. Step 3: Cross multiply
    1,038.13x = 1,557.16 × 421.67
  4. Step 4: Simplify right side
    1,038.13x = 656,612.08
  5. Step 5: Solve for x
    x = 656,612.08/1,038.13
  6. Step 6: Final answer
    x = 632.49

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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.