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Finding the Fourth Proportional to 1,130.70, 1,696.05 and 583.95

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Solution

The fourth proportional to 1,130.70, 1,696.05 and 583.95 is: 875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.70 : 1,696.05 = 583.95 : x
  2. Step 2: Convert to fraction form
    1,130.70/1,696.05 = 583.95/x
  3. Step 3: Cross multiply
    1,130.70x = 1,696.05 × 583.95
  4. Step 4: Simplify right side
    1,130.70x = 990,408.40
  5. Step 5: Solve for x
    x = 990,408.40/1,130.70
  6. Step 6: Final answer
    x = 875.93

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