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Finding the Fourth Proportional to 1,137.58, 1,570.01 and 950.76

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Solution

The fourth proportional to 1,137.58, 1,570.01 and 950.76 is: 1,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.58 : 1,570.01 = 950.76 : x
  2. Step 2: Convert to fraction form
    1,137.58/1,570.01 = 950.76/x
  3. Step 3: Cross multiply
    1,137.58x = 1,570.01 × 950.76
  4. Step 4: Simplify right side
    1,137.58x = 1,492,697.95
  5. Step 5: Solve for x
    x = 1,492,697.95/1,137.58
  6. Step 6: Final answer
    x = 1,312.17

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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.