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Finding the Fourth Proportional to 1,070.88, 1,606.80 and 583.76

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Solution

The fourth proportional to 1,070.88, 1,606.80 and 583.76 is: 875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.88 : 1,606.80 = 583.76 : x
  2. Step 2: Convert to fraction form
    1,070.88/1,606.80 = 583.76/x
  3. Step 3: Cross multiply
    1,070.88x = 1,606.80 × 583.76
  4. Step 4: Simplify right side
    1,070.88x = 937,985.57
  5. Step 5: Solve for x
    x = 937,985.57/1,070.88
  6. Step 6: Final answer
    x = 875.90

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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.