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Finding the Fourth Proportional to 1,476.48, 2,214.45 and 598.77

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Solution

The fourth proportional to 1,476.48, 2,214.45 and 598.77 is: 898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.48 : 2,214.45 = 598.77 : x
  2. Step 2: Convert to fraction form
    1,476.48/2,214.45 = 598.77/x
  3. Step 3: Cross multiply
    1,476.48x = 2,214.45 × 598.77
  4. Step 4: Simplify right side
    1,476.48x = 1,325,946.23
  5. Step 5: Solve for x
    x = 1,325,946.23/1,476.48
  6. Step 6: Final answer
    x = 898.05

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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.