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Finding the Fourth Proportional to 710.24, 1,064.24 and 435.52

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Solution

The fourth proportional to 710.24, 1,064.24 and 435.52 is: 652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.24 : 1,064.24 = 435.52 : x
  2. Step 2: Convert to fraction form
    710.24/1,064.24 = 435.52/x
  3. Step 3: Cross multiply
    710.24x = 1,064.24 × 435.52
  4. Step 4: Simplify right side
    710.24x = 463,497.80
  5. Step 5: Solve for x
    x = 463,497.80/710.24
  6. Step 6: Final answer
    x = 652.59

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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.