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Finding the Fourth Proportional to 1,117.50, 1,674 and 934.32

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Solution

The fourth proportional to 1,117.50, 1,674 and 934.32 is: 1,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.50 : 1,674 = 934.32 : x
  2. Step 2: Convert to fraction form
    1,117.50/1,674 = 934.32/x
  3. Step 3: Cross multiply
    1,117.50x = 1,674 × 934.32
  4. Step 4: Simplify right side
    1,117.50x = 1,564,051.68
  5. Step 5: Solve for x
    x = 1,564,051.68/1,117.50
  6. Step 6: Final answer
    x = 1,399.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.