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Finding the Fourth Proportional to 751.47, 1,037.75 and 710.57

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Solution

The fourth proportional to 751.47, 1,037.75 and 710.57 is: 981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.47 : 1,037.75 = 710.57 : x
  2. Step 2: Convert to fraction form
    751.47/1,037.75 = 710.57/x
  3. Step 3: Cross multiply
    751.47x = 1,037.75 × 710.57
  4. Step 4: Simplify right side
    751.47x = 737,394.02
  5. Step 5: Solve for x
    x = 737,394.02/751.47
  6. Step 6: Final answer
    x = 981.27

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1.5x scale

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.