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Finding the Fourth Proportional to 1,011.53, 1,397.95 and 762.76

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Solution

The fourth proportional to 1,011.53, 1,397.95 and 762.76 is: 1,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.53 : 1,397.95 = 762.76 : x
  2. Step 2: Convert to fraction form
    1,011.53/1,397.95 = 762.76/x
  3. Step 3: Cross multiply
    1,011.53x = 1,397.95 × 762.76
  4. Step 4: Simplify right side
    1,011.53x = 1,066,294.94
  5. Step 5: Solve for x
    x = 1,066,294.94/1,011.53
  6. Step 6: Final answer
    x = 1,054.14

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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.