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Finding the Fourth Proportional to 916.04, 1,262.24 and 816.74

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Solution

The fourth proportional to 916.04, 1,262.24 and 816.74 is: 1,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.04 : 1,262.24 = 816.74 : x
  2. Step 2: Convert to fraction form
    916.04/1,262.24 = 816.74/x
  3. Step 3: Cross multiply
    916.04x = 1,262.24 × 816.74
  4. Step 4: Simplify right side
    916.04x = 1,030,921.90
  5. Step 5: Solve for x
    x = 1,030,921.90/916.04
  6. Step 6: Final answer
    x = 1,125.41

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1.5x scale

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.