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Finding the Fourth Proportional to 1,419.02, 2,129.16 and 597.48

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Solution

The fourth proportional to 1,419.02, 2,129.16 and 597.48 is: 896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.02 : 2,129.16 = 597.48 : x
  2. Step 2: Convert to fraction form
    1,419.02/2,129.16 = 597.48/x
  3. Step 3: Cross multiply
    1,419.02x = 2,129.16 × 597.48
  4. Step 4: Simplify right side
    1,419.02x = 1,272,130.52
  5. Step 5: Solve for x
    x = 1,272,130.52/1,419.02
  6. Step 6: Final answer
    x = 896.49

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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.