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Finding the Fourth Proportional to 975.51, 1,460.64 and 583.67

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Solution

The fourth proportional to 975.51, 1,460.64 and 583.67 is: 873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.51 : 1,460.64 = 583.67 : x
  2. Step 2: Convert to fraction form
    975.51/1,460.64 = 583.67/x
  3. Step 3: Cross multiply
    975.51x = 1,460.64 × 583.67
  4. Step 4: Simplify right side
    975.51x = 852,531.75
  5. Step 5: Solve for x
    x = 852,531.75/975.51
  6. Step 6: Final answer
    x = 873.93

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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.