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Finding the Fourth Proportional to 652, 977.04 and 435.04

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Solution

The fourth proportional to 652, 977.04 and 435.04 is: 651.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652 : 977.04 = 435.04 : x
  2. Step 2: Convert to fraction form
    652/977.04 = 435.04/x
  3. Step 3: Cross multiply
    652x = 977.04 × 435.04
  4. Step 4: Simplify right side
    652x = 425,051.48
  5. Step 5: Solve for x
    x = 425,051.48/652
  6. Step 6: Final answer
    x = 651.92

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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.