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Finding the Fourth Proportional to 710.48, 980.16 and 514.16

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Solution

The fourth proportional to 710.48, 980.16 and 514.16 is: 709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.48 : 980.16 = 514.16 : x
  2. Step 2: Convert to fraction form
    710.48/980.16 = 514.16/x
  3. Step 3: Cross multiply
    710.48x = 980.16 × 514.16
  4. Step 4: Simplify right side
    710.48x = 503,959.07
  5. Step 5: Solve for x
    x = 503,959.07/710.48
  6. Step 6: Final answer
    x = 709.32

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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.