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Finding the Fourth Proportional to 1,689.98, 2,332.35 and 991.35

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Solution

The fourth proportional to 1,689.98, 2,332.35 and 991.35 is: 1,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.98 : 2,332.35 = 991.35 : x
  2. Step 2: Convert to fraction form
    1,689.98/2,332.35 = 991.35/x
  3. Step 3: Cross multiply
    1,689.98x = 2,332.35 × 991.35
  4. Step 4: Simplify right side
    1,689.98x = 2,312,175.17
  5. Step 5: Solve for x
    x = 2,312,175.17/1,689.98
  6. Step 6: Final answer
    x = 1,368.17

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1.5x scale

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.