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Finding the Fourth Proportional to 916.99, 1,265.49 and 524.00

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Solution

The fourth proportional to 916.99, 1,265.49 and 524.00 is: 723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.99 : 1,265.49 = 524.00 : x
  2. Step 2: Convert to fraction form
    916.99/1,265.49 = 524.00/x
  3. Step 3: Cross multiply
    916.99x = 1,265.49 × 524.00
  4. Step 4: Simplify right side
    916.99x = 663,119.92
  5. Step 5: Solve for x
    x = 663,119.92/916.99
  6. Step 6: Final answer
    x = 723.15

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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.