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Finding the Fourth Proportional to 1,421.05, 2,130.93 and 598.88

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Solution

The fourth proportional to 1,421.05, 2,130.93 and 598.88 is: 898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.05 : 2,130.93 = 598.88 : x
  2. Step 2: Convert to fraction form
    1,421.05/2,130.93 = 598.88/x
  3. Step 3: Cross multiply
    1,421.05x = 2,130.93 × 598.88
  4. Step 4: Simplify right side
    1,421.05x = 1,276,166.38
  5. Step 5: Solve for x
    x = 1,276,166.38/1,421.05
  6. Step 6: Final answer
    x = 898.04

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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.