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Finding the Fourth Proportional to 1,056.90, 1,458.42 and 608.82

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Solution

The fourth proportional to 1,056.90, 1,458.42 and 608.82 is: 840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.90 : 1,458.42 = 608.82 : x
  2. Step 2: Convert to fraction form
    1,056.90/1,458.42 = 608.82/x
  3. Step 3: Cross multiply
    1,056.90x = 1,458.42 × 608.82
  4. Step 4: Simplify right side
    1,056.90x = 887,915.26
  5. Step 5: Solve for x
    x = 887,915.26/1,056.90
  6. Step 6: Final answer
    x = 840.11

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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.