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Finding the Fourth Proportional to 1,070.53, 1,476.60 and 650.59

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Solution

The fourth proportional to 1,070.53, 1,476.60 and 650.59 is: 897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.53 : 1,476.60 = 650.59 : x
  2. Step 2: Convert to fraction form
    1,070.53/1,476.60 = 650.59/x
  3. Step 3: Cross multiply
    1,070.53x = 1,476.60 × 650.59
  4. Step 4: Simplify right side
    1,070.53x = 960,661.19
  5. Step 5: Solve for x
    x = 960,661.19/1,070.53
  6. Step 6: Final answer
    x = 897.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.