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Finding the Fourth Proportional to 707.51, 976.43 and 412.76

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Solution

The fourth proportional to 707.51, 976.43 and 412.76 is: 569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.51 : 976.43 = 412.76 : x
  2. Step 2: Convert to fraction form
    707.51/976.43 = 412.76/x
  3. Step 3: Cross multiply
    707.51x = 976.43 × 412.76
  4. Step 4: Simplify right side
    707.51x = 403,031.25
  5. Step 5: Solve for x
    x = 403,031.25/707.51
  6. Step 6: Final answer
    x = 569.65

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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.