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Finding the Fourth Proportional to 1,047.47, 1,444.55 and 907.52

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Solution

The fourth proportional to 1,047.47, 1,444.55 and 907.52 is: 1,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.47 : 1,444.55 = 907.52 : x
  2. Step 2: Convert to fraction form
    1,047.47/1,444.55 = 907.52/x
  3. Step 3: Cross multiply
    1,047.47x = 1,444.55 × 907.52
  4. Step 4: Simplify right side
    1,047.47x = 1,310,946.26
  5. Step 5: Solve for x
    x = 1,310,946.26/1,047.47
  6. Step 6: Final answer
    x = 1,251.54

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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.