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Finding the Fourth Proportional to 910.04, 1,256.82 and 715.64

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Solution

The fourth proportional to 910.04, 1,256.82 and 715.64 is: 988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.04 : 1,256.82 = 715.64 : x
  2. Step 2: Convert to fraction form
    910.04/1,256.82 = 715.64/x
  3. Step 3: Cross multiply
    910.04x = 1,256.82 × 715.64
  4. Step 4: Simplify right side
    910.04x = 899,430.66
  5. Step 5: Solve for x
    x = 899,430.66/910.04
  6. Step 6: Final answer
    x = 988.34

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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.