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Finding the Fourth Proportional to 710.51, 1,064.22 and 435.77

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Solution

The fourth proportional to 710.51, 1,064.22 and 435.77 is: 652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.51 : 1,064.22 = 435.77 : x
  2. Step 2: Convert to fraction form
    710.51/1,064.22 = 435.77/x
  3. Step 3: Cross multiply
    710.51x = 1,064.22 × 435.77
  4. Step 4: Simplify right side
    710.51x = 463,755.15
  5. Step 5: Solve for x
    x = 463,755.15/710.51
  6. Step 6: Final answer
    x = 652.71

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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.