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Finding the Fourth Proportional to 1,104.42, 1,653.48 and 907.50

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Solution

The fourth proportional to 1,104.42, 1,653.48 and 907.50 is: 1,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.42 : 1,653.48 = 907.50 : x
  2. Step 2: Convert to fraction form
    1,104.42/1,653.48 = 907.50/x
  3. Step 3: Cross multiply
    1,104.42x = 1,653.48 × 907.50
  4. Step 4: Simplify right side
    1,104.42x = 1,500,533.10
  5. Step 5: Solve for x
    x = 1,500,533.10/1,104.42
  6. Step 6: Final answer
    x = 1,358.66

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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.