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Finding the Fourth Proportional to 1,298.18, 1,946.81 and 476.24

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Solution

The fourth proportional to 1,298.18, 1,946.81 and 476.24 is: 714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.18 : 1,946.81 = 476.24 : x
  2. Step 2: Convert to fraction form
    1,298.18/1,946.81 = 476.24/x
  3. Step 3: Cross multiply
    1,298.18x = 1,946.81 × 476.24
  4. Step 4: Simplify right side
    1,298.18x = 927,140.25
  5. Step 5: Solve for x
    x = 927,140.25/1,298.18
  6. Step 6: Final answer
    x = 714.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.