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Finding the Fourth Proportional to 907.40, 1,252.09 and 509.07

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Solution

The fourth proportional to 907.40, 1,252.09 and 509.07 is: 702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.40 : 1,252.09 = 509.07 : x
  2. Step 2: Convert to fraction form
    907.40/1,252.09 = 509.07/x
  3. Step 3: Cross multiply
    907.40x = 1,252.09 × 509.07
  4. Step 4: Simplify right side
    907.40x = 637,406.79
  5. Step 5: Solve for x
    x = 637,406.79/907.40
  6. Step 6: Final answer
    x = 702.45

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Double scale
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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.