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Finding the Fourth Proportional to 678.51, 1,014.66 and 555.12

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Solution

The fourth proportional to 678.51, 1,014.66 and 555.12 is: 830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.51 : 1,014.66 = 555.12 : x
  2. Step 2: Convert to fraction form
    678.51/1,014.66 = 555.12/x
  3. Step 3: Cross multiply
    678.51x = 1,014.66 × 555.12
  4. Step 4: Simplify right side
    678.51x = 563,258.06
  5. Step 5: Solve for x
    x = 563,258.06/678.51
  6. Step 6: Final answer
    x = 830.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.