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Finding the Fourth Proportional to 1,023.82, 1,412.77 and 630.76

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Solution

The fourth proportional to 1,023.82, 1,412.77 and 630.76 is: 870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.82 : 1,412.77 = 630.76 : x
  2. Step 2: Convert to fraction form
    1,023.82/1,412.77 = 630.76/x
  3. Step 3: Cross multiply
    1,023.82x = 1,412.77 × 630.76
  4. Step 4: Simplify right side
    1,023.82x = 891,118.81
  5. Step 5: Solve for x
    x = 891,118.81/1,023.82
  6. Step 6: Final answer
    x = 870.39

Related Problems

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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.