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Finding the Fourth Proportional to 810.42, 1,116.82 and 577.14

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Solution

The fourth proportional to 810.42, 1,116.82 and 577.14 is: 795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.42 : 1,116.82 = 577.14 : x
  2. Step 2: Convert to fraction form
    810.42/1,116.82 = 577.14/x
  3. Step 3: Cross multiply
    810.42x = 1,116.82 × 577.14
  4. Step 4: Simplify right side
    810.42x = 644,561.49
  5. Step 5: Solve for x
    x = 644,561.49/810.42
  6. Step 6: Final answer
    x = 795.34

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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.