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Finding the Fourth Proportional to 1,473.63, 2,209.14 and 652.02

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Solution

The fourth proportional to 1,473.63, 2,209.14 and 652.02 is: 977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.63 : 2,209.14 = 652.02 : x
  2. Step 2: Convert to fraction form
    1,473.63/2,209.14 = 652.02/x
  3. Step 3: Cross multiply
    1,473.63x = 2,209.14 × 652.02
  4. Step 4: Simplify right side
    1,473.63x = 1,440,403.46
  5. Step 5: Solve for x
    x = 1,440,403.46/1,473.63
  6. Step 6: Final answer
    x = 977.45

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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.