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Finding the Fourth Proportional to 1,298.55, 1,948.12 and 374.11

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Solution

The fourth proportional to 1,298.55, 1,948.12 and 374.11 is: 561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.55 : 1,948.12 = 374.11 : x
  2. Step 2: Convert to fraction form
    1,298.55/1,948.12 = 374.11/x
  3. Step 3: Cross multiply
    1,298.55x = 1,948.12 × 374.11
  4. Step 4: Simplify right side
    1,298.55x = 728,809.30
  5. Step 5: Solve for x
    x = 728,809.30/1,298.55
  6. Step 6: Final answer
    x = 561.25

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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.