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Finding the Fourth Proportional to 1,017.76, 1,404.05 and 686.06

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Solution

The fourth proportional to 1,017.76, 1,404.05 and 686.06 is: 946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.76 : 1,404.05 = 686.06 : x
  2. Step 2: Convert to fraction form
    1,017.76/1,404.05 = 686.06/x
  3. Step 3: Cross multiply
    1,017.76x = 1,404.05 × 686.06
  4. Step 4: Simplify right side
    1,017.76x = 963,267.77
  5. Step 5: Solve for x
    x = 963,267.77/1,017.76
  6. Step 6: Final answer
    x = 946.46

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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.