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Finding the Fourth Proportional to 1,298.61, 1,948.14 and 421.32

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Solution

The fourth proportional to 1,298.61, 1,948.14 and 421.32 is: 632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.61 : 1,948.14 = 421.32 : x
  2. Step 2: Convert to fraction form
    1,298.61/1,948.14 = 421.32/x
  3. Step 3: Cross multiply
    1,298.61x = 1,948.14 × 421.32
  4. Step 4: Simplify right side
    1,298.61x = 820,790.34
  5. Step 5: Solve for x
    x = 820,790.34/1,298.61
  6. Step 6: Final answer
    x = 632.05

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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.