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Finding the Fourth Proportional to 1,535.66, 2,302.67 and 714.32

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Solution

The fourth proportional to 1,535.66, 2,302.67 and 714.32 is: 1,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.66 : 2,302.67 = 714.32 : x
  2. Step 2: Convert to fraction form
    1,535.66/2,302.67 = 714.32/x
  3. Step 3: Cross multiply
    1,535.66x = 2,302.67 × 714.32
  4. Step 4: Simplify right side
    1,535.66x = 1,644,833.51
  5. Step 5: Solve for x
    x = 1,644,833.51/1,535.66
  6. Step 6: Final answer
    x = 1,071.10

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1.5x scale

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.