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Finding the Fourth Proportional to 904.50, 1,248.13 and 555.19

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Solution

The fourth proportional to 904.50, 1,248.13 and 555.19 is: 766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.50 : 1,248.13 = 555.19 : x
  2. Step 2: Convert to fraction form
    904.50/1,248.13 = 555.19/x
  3. Step 3: Cross multiply
    904.50x = 1,248.13 × 555.19
  4. Step 4: Simplify right side
    904.50x = 692,949.29
  5. Step 5: Solve for x
    x = 692,949.29/904.50
  6. Step 6: Final answer
    x = 766.11

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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.