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Finding the Fourth Proportional to 1,570.66, 2,167.49 and 907.47

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Solution

The fourth proportional to 1,570.66, 2,167.49 and 907.47 is: 1,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.66 : 2,167.49 = 907.47 : x
  2. Step 2: Convert to fraction form
    1,570.66/2,167.49 = 907.47/x
  3. Step 3: Cross multiply
    1,570.66x = 2,167.49 × 907.47
  4. Step 4: Simplify right side
    1,570.66x = 1,966,934.42
  5. Step 5: Solve for x
    x = 1,966,934.42/1,570.66
  6. Step 6: Final answer
    x = 1,252.30

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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.