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Finding the Fourth Proportional to 1,032.35, 1,424.15 and 678.13

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Solution

The fourth proportional to 1,032.35, 1,424.15 and 678.13 is: 935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.35 : 1,424.15 = 678.13 : x
  2. Step 2: Convert to fraction form
    1,032.35/1,424.15 = 678.13/x
  3. Step 3: Cross multiply
    1,032.35x = 1,424.15 × 678.13
  4. Step 4: Simplify right side
    1,032.35x = 965,762.32
  5. Step 5: Solve for x
    x = 965,762.32/1,032.35
  6. Step 6: Final answer
    x = 935.50

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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.