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Finding the Fourth Proportional to 710.76, 980.25 and 563.16

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Solution

The fourth proportional to 710.76, 980.25 and 563.16 is: 776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.76 : 980.25 = 563.16 : x
  2. Step 2: Convert to fraction form
    710.76/980.25 = 563.16/x
  3. Step 3: Cross multiply
    710.76x = 980.25 × 563.16
  4. Step 4: Simplify right side
    710.76x = 552,037.59
  5. Step 5: Solve for x
    x = 552,037.59/710.76
  6. Step 6: Final answer
    x = 776.69

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Double scale
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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.