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Finding the Fourth Proportional to 1,156, 1,595.88 and 714.14

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Solution

The fourth proportional to 1,156, 1,595.88 and 714.14 is: 985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156 : 1,595.88 = 714.14 : x
  2. Step 2: Convert to fraction form
    1,156/1,595.88 = 714.14/x
  3. Step 3: Cross multiply
    1,156x = 1,595.88 × 714.14
  4. Step 4: Simplify right side
    1,156x = 1,139,681.74
  5. Step 5: Solve for x
    x = 1,139,681.74/1,156
  6. Step 6: Final answer
    x = 985.88

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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.