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Finding the Fourth Proportional to 1,156.58, 1,596.10 and 632.66

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Solution

The fourth proportional to 1,156.58, 1,596.10 and 632.66 is: 873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.58 : 1,596.10 = 632.66 : x
  2. Step 2: Convert to fraction form
    1,156.58/1,596.10 = 632.66/x
  3. Step 3: Cross multiply
    1,156.58x = 1,596.10 × 632.66
  4. Step 4: Simplify right side
    1,156.58x = 1,009,788.63
  5. Step 5: Solve for x
    x = 1,009,788.63/1,156.58
  6. Step 6: Final answer
    x = 873.08

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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.