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Finding the Fourth Proportional to 875.90, 1,314.28 and 583.60

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Solution

The fourth proportional to 875.90, 1,314.28 and 583.60 is: 875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.90 : 1,314.28 = 583.60 : x
  2. Step 2: Convert to fraction form
    875.90/1,314.28 = 583.60/x
  3. Step 3: Cross multiply
    875.90x = 1,314.28 × 583.60
  4. Step 4: Simplify right side
    875.90x = 767,013.81
  5. Step 5: Solve for x
    x = 767,013.81/875.90
  6. Step 6: Final answer
    x = 875.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.