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Finding the Fourth Proportional to 1,133.46, 1,564.57 and 714.52

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Solution

The fourth proportional to 1,133.46, 1,564.57 and 714.52 is: 986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.46 : 1,564.57 = 714.52 : x
  2. Step 2: Convert to fraction form
    1,133.46/1,564.57 = 714.52/x
  3. Step 3: Cross multiply
    1,133.46x = 1,564.57 × 714.52
  4. Step 4: Simplify right side
    1,133.46x = 1,117,909.07
  5. Step 5: Solve for x
    x = 1,117,909.07/1,133.46
  6. Step 6: Final answer
    x = 986.28

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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.