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Finding the Fourth Proportional to 1,070.59, 1,476.14 and 893.81

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Solution

The fourth proportional to 1,070.59, 1,476.14 and 893.81 is: 1,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.59 : 1,476.14 = 893.81 : x
  2. Step 2: Convert to fraction form
    1,070.59/1,476.14 = 893.81/x
  3. Step 3: Cross multiply
    1,070.59x = 1,476.14 × 893.81
  4. Step 4: Simplify right side
    1,070.59x = 1,319,376.84
  5. Step 5: Solve for x
    x = 1,319,376.84/1,070.59
  6. Step 6: Final answer
    x = 1,232.39

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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.