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Finding the Fourth Proportional to 807, 1,113.74 and 457.77

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Solution

The fourth proportional to 807, 1,113.74 and 457.77 is: 631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    807 : 1,113.74 = 457.77 : x
  2. Step 2: Convert to fraction form
    807/1,113.74 = 457.77/x
  3. Step 3: Cross multiply
    807x = 1,113.74 × 457.77
  4. Step 4: Simplify right side
    807x = 509,834.47
  5. Step 5: Solve for x
    x = 509,834.47/807
  6. Step 6: Final answer
    x = 631.77

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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.