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Finding the Fourth Proportional to 1,398.05, 1,929.40 and 925.13

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Solution

The fourth proportional to 1,398.05, 1,929.40 and 925.13 is: 1,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.05 : 1,929.40 = 925.13 : x
  2. Step 2: Convert to fraction form
    1,398.05/1,929.40 = 925.13/x
  3. Step 3: Cross multiply
    1,398.05x = 1,929.40 × 925.13
  4. Step 4: Simplify right side
    1,398.05x = 1,784,931.55
  5. Step 5: Solve for x
    x = 1,784,931.55/1,398.05
  6. Step 6: Final answer
    x = 1,276.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.