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Finding the Fourth Proportional to 848.53, 1,170.71 and 475.46

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Solution

The fourth proportional to 848.53, 1,170.71 and 475.46 is: 655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.53 : 1,170.71 = 475.46 : x
  2. Step 2: Convert to fraction form
    848.53/1,170.71 = 475.46/x
  3. Step 3: Cross multiply
    848.53x = 1,170.71 × 475.46
  4. Step 4: Simplify right side
    848.53x = 556,617.55
  5. Step 5: Solve for x
    x = 556,617.55/848.53
  6. Step 6: Final answer
    x = 655.98

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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.