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Finding the Fourth Proportional to 915.16, 1,262.64 and 653.08

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Solution

The fourth proportional to 915.16, 1,262.64 and 653.08 is: 901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.16 : 1,262.64 = 653.08 : x
  2. Step 2: Convert to fraction form
    915.16/1,262.64 = 653.08/x
  3. Step 3: Cross multiply
    915.16x = 1,262.64 × 653.08
  4. Step 4: Simplify right side
    915.16x = 824,604.93
  5. Step 5: Solve for x
    x = 824,604.93/915.16
  6. Step 6: Final answer
    x = 901.05

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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.