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Finding the Fourth Proportional to 611.84, 916.55 and 508.01

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Solution

The fourth proportional to 611.84, 916.55 and 508.01 is: 761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.84 : 916.55 = 508.01 : x
  2. Step 2: Convert to fraction form
    611.84/916.55 = 508.01/x
  3. Step 3: Cross multiply
    611.84x = 916.55 × 508.01
  4. Step 4: Simplify right side
    611.84x = 465,609.44
  5. Step 5: Solve for x
    x = 465,609.44/611.84
  6. Step 6: Final answer
    x = 761.00

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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.