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Finding the Fourth Proportional to 1,580.32, 2,368.56 and 714.88

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Solution

The fourth proportional to 1,580.32, 2,368.56 and 714.88 is: 1,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.32 : 2,368.56 = 714.88 : x
  2. Step 2: Convert to fraction form
    1,580.32/2,368.56 = 714.88/x
  3. Step 3: Cross multiply
    1,580.32x = 2,368.56 × 714.88
  4. Step 4: Simplify right side
    1,580.32x = 1,693,236.17
  5. Step 5: Solve for x
    x = 1,693,236.17/1,580.32
  6. Step 6: Final answer
    x = 1,071.45

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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.