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Finding the Fourth Proportional to 904.32, 1,248.00 and 505.98

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Solution

The fourth proportional to 904.32, 1,248.00 and 505.98 is: 698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.32 : 1,248.00 = 505.98 : x
  2. Step 2: Convert to fraction form
    904.32/1,248.00 = 505.98/x
  3. Step 3: Cross multiply
    904.32x = 1,248.00 × 505.98
  4. Step 4: Simplify right side
    904.32x = 631,462.57
  5. Step 5: Solve for x
    x = 631,462.57/904.32
  6. Step 6: Final answer
    x = 698.27

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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.