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Finding the Fourth Proportional to 1,033.04, 1,557.02 and 970.16

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Solution

The fourth proportional to 1,033.04, 1,557.02 and 970.16 is: 1,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.04 : 1,557.02 = 970.16 : x
  2. Step 2: Convert to fraction form
    1,033.04/1,557.02 = 970.16/x
  3. Step 3: Cross multiply
    1,033.04x = 1,557.02 × 970.16
  4. Step 4: Simplify right side
    1,033.04x = 1,510,558.52
  5. Step 5: Solve for x
    x = 1,510,558.52/1,033.04
  6. Step 6: Final answer
    x = 1,462.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.